# Simplify Complex Number

### How To : Simplify and rewrite the complex number "i"

The powers of the complex number "i" run their course in a cyclical nature, like annual seasons of "American Idol." Simplify your life - or at least your math class life - by learning how to rewrite the powers of "i" into simple, single variable expressions. This video guides ...more

### How To : Simplify complex fractions

In this video you can learn how to simplify complex fractions. Look at the example in the illustration. To simplify this complex problem, you would first add the number 1 under the whole number in the denominator, to make it a fraction. Then change it from a division problem b ...more

### How To : Simplify complex fractions with variables

In order to simplify complex variables, you must first consider the numerical values separate from the variable. In the case of 24x/48x, you would look at the numbers alone to see if they have any factors. These numbers have the number 6 in common. So, divide it by 6. This wil ...more

### How To : Add and substract complex numbers in algebra

Math has always had the reputation of being nonimaginative, dry, and straight to the point, but mathematicians like to have fun, too! Perhaps that's why they invented imaginary complex numbers dealing with "i." Turn math homework into playtime by watching this video on how to ...more

### How To : Simplify complex fractions in algebra

Being circuitous and using ample euphemisms has gotten many a politan elected by the dumb and hated by the knowing. Though embellishing speech is often preferred in jovial presidential debates, mathematicians prefer to cut out the fat and get straight to the point. Don't call ...more

### How To : Find real and imaginary parts of a complex number

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

### How To : Find the complex conjugate of a complex number

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

### How To : Calculate the modulus and argument of a complex number

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

### How To : Find the polar form of a complex number

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

### How To : Write the square root of a negative complex number

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

### How To : Simplify complex fraction w/ single fraction on bottom

This is a great instructional video on education. This educational video teaches you how to simplify a complex fraction with a single fraction on bottom. Let us learn this with an example. Let us assume we have to simplify the complex fraction 5 by x-4 divided by 5-4x by 5. Wh ...more

### How To : Simplify complex fractions in math

In this tutorial the instructor shows how to simplify complex fractions. A complex fraction is the same as a normal fraction, but has a fraction problem in the numerator and a fraction problem in the denominator. The first thing to do is arrive at a simple fraction both in the ...more

### How To : Simplify complex riffs on electric guitar

Check out this instructional electric guitar video that shows you how to simplify complex riffs on the electric guitar. This is Season 3, Episode 26 of Dave Weiner's Riff of the Week series titled "Complex Riffs Made Easy." Dave Weiner is a Favored Nations recording artist, a ...more

### How To : Simplify complex fraction

In this video the instructor shows how to simplify a complex fraction. A complex fraction is a fraction that has fractions in both the numerator and the denominator of the original fraction. Complex fractions can look intimidating but are generally simple to solve, as shown in ...more

### How To : Simplify complex fraction w/ 3 fractions top & bottom

You Tube User robichaudd teaches you how to simplify a complex fraction with 3 fractions top and bottom. Your result should be 1 fraction over 1 fraction. To do this you must find the L.C.D. at the top, which x cubed. That is the largest variable there. Thus, the L.C.D. at the ...more

### How To : Simplify complex rational expressions

In order to simplify complex rational expressions, it is important to be able to find the lowest common denominator. Complex rational expressions are fractions that are divided by fractions. When you have found the lowest common denominator, then, you should multiply both frac ...more

### How To : Simplify Complex Fractions

The key to simplifying fractions is to convert the fraction from a hamburger to a hot dog. In other words you change it from a fraction to a division problem, and then use Keep,Change,Flip to simplify. The video explains all of this and helps make complex fractions,simple. Vid ...more

### How To : Simplify Complex Fractions

Complex fractions are fractions that contain a fraction in the numerator,the denominator, or both. You can use the Keep,Change,Flip method in order to simply these complex fractions. Video: .

### How To : Simplify a complex fraction w/ binomial denominators

To simplify a complex fraction, turn it into one fraction on the top divided into a fraction on the bottom. Once this is complete, you will turn the division into the two into a multiple by the reciprocal, factor, and then cancel. To make a division, find the lowest common den ...more

### How To : Simplify a complex rational expression in algebra

Penelope, and eighth-grader, shows us how to simplify a complex rational expression in this algebraic problem. What better way to learn than from students still learning it, fresh in their heads?

### How To : Simplify fourth roots

In this video the instructor shows how to find out the fourth roots of a number. The properties of fourth root says that for any positive number of a, its fourth roots are real. And for any negative value a, its fourth roots are not real. So split the number inside the fourth ...more

### How To : Simplify cube roots

In this video, the narrator presents the viewer with a quick, painless way of simplifying cube roots. The narrator presents many methods to simplify square roots to appeal to different learning styles. By doing things like dividing the power by the root to figure out the power ...more

### News : New Unity Beta Brings with It Much Needed New Features

At the end of June, Unity 2017.1, the newest version of the popular 3D development engine, went live. And with that release, it brought out some very cool new features like Timeline and Cinemachine, to name a few. Now, for those of us that develop with Unity and follow the bet ...more

### ARKit 101 : How to Pilot Your 3D Plane to a Location Using 'hitTest' in ARKit

Hello, budding augmented reality developers! My name is Ambuj, and I'll be introducing all of you Next Reality readers to the world ARKit, as I'm developing an ARKit 101 series on using ARKit to create augmented reality apps for iPad and iPhone. My background is in software en ...more

### How To : Use imaginary numbers and quadratic equations

Need a little help with your math homework? No problem, the Math Centre offers students video tutorials that will provide as a reference guide for self-study. Students get self-study resources targeted to the needs of individual courses, and teachers gain generic mathematics s ...more

### How To : Easily balance a chemical equation

In this video, we learn how to easily balance a chemical equation. In a balanced equation, there should be the same number of atoms on both sides of it. There are no rules that explain how you get a balanced reaction from expression. First, start on the molecule or compound th ...more

### How To : Find the sum of reciprocals of complex numbers

In this tutorial the instructor shows how to calculate the sum of reciprocals of complex numbers. If you have to find out the sum of the reciprocals of two complex numbers first you will have to find out the least common multiple of the denominators. To do this multiply the nu ...more

### How To : Work with complex numbers

In this algebra video the instructor shows how to work with complex numbers. When you have a positive number under the square root, you can easily find its value by writing it in the form of product of numbers, and then solving. That is, to find the square root of a positive n ...more

### How To : Rewrite radicals using complex numbers

A complex number is half real (a) and half imaginary (bi), just like that Edward Cullen who makes your heart thump realistically but whose sparkly chest makes you wonder if he's something more. Explore the land of glittery vampires and fake boys by learning how to rewrite rad ...more

### Find the discriminant (DELTA) : quadratic equation

The discriminate of any equation in any degree plays an important role in determining the roots of that equation. In case of a quadratic equation with a positive discriminate, the roots are real while a 0 discriminate indicates a single real root. A negative discriminant indi ...more

### How To : Simplify square roots in less than a minute

A square root of a number is a value which when multiplied to it self gives you the original number. The square roots of perfect squares are whole numbers. Like square root of 9 is 3, because 3 times 3 is 9. Similarly square root of 81 is 9 because 9 times 9 is 81. Others numb ...more

### How To : Convert fractions to decimals

In this tutorial, we learn how to divide fractions into decimals. First, you will want to divide your numerator by your denominator. If you can simplify this number further, it will make it easier for you to divide. You can do this on the calculator, or you can do it by hand. ...more

### How To : Simplify square roots in math

In this video the instructor shows how to simplify radicals. A radical is nothing but another name for a square root. To find the square root of a simple number the first thing that you need to do is factor it. If you need to compute the square root of a number, you first need ...more

### How To : Use the auto-complete feature in MS Office Excel 2007

Microsoft Office Excel 2007 Tip - Using Formula Auto-Complete - Microsoft® Office Excel® 2007 is truly at its best when it's working hard behind the scenes to execute complex calculations, working with any of a number of standard formulas. When we're creating spreadsheets, for ...more

### How To : Change decimals to fractions

In this tutorial, we learn how to change decimals to fractions. First, you will take your decimal and put it over 1. Any number divided by 1 will be that number that you started with. To get rid of the decimal, you can multiply it by hand and moving the numbers to the left. To ...more

### How To : Simplify expressions involving numeric radicals

In this video tutorial, viewers learn how to simplify expressions involving numeric radicals. This can be very frustrating to work with if you have not memorized the tables of square, cubes and fourths. If you are taking the square root of a number that is not a perfect square ...more

### How To : Solve equations with fractions and decimals

In this tutorial the instructor shows how to solve equations with fractions and decimals. When you have a fraction first try to simplify it by canceling out the common factors in the numerator and the denominator. If there are any decimals convert them into fractions. Now if y ...more

### How To : Solve exponential and logarithmic equations

In this video tutorial the instructor shows how to solve exponential and logarithmic equations. Solving exponential equations can become very difficult if it involves large numbers. To solve these kinds of complex equations you need to get all the numbers to the same base numb ...more

### How To : Simplify square roots in algebra

Watch the following video to understand the steps necessary when simplifying square roots. To simplify expressions with radicals, follow these simple steps: • Write the radicand (the number underneath the radical sign) as a product of prime numbers. For larger numbers you ca ...more

### How To : Multiply mixed numbers together

In this video we learn how to multiply mixed numbers together. First, take your mixed numbers and write them into an equation. Next, convert the numbers both to top heavy fractions. Now, multiply the top numerators together and then the denominators together. If you can't work ...more

### News : Advanced Cracking Techniques, Part 1: Custom Dictionaries

How did it happen? How did your ultra-secure WPA password on your wireless network get broken into? Well, you might have just found yourself at the mercy of a cracker. Crackers are malicious computer users who specialize in breaking into things. Whether it be passwords, login ...more

### How To : Use a race belt to improve your triathlon

If you're ever done a big race before, then you've probably had to deal with attaching a paper number to your chest with safety pins. In a triathlon, where you are going to have to change clothes multiple times, having to keep unpinning and repinning that number can cost you v ...more

### How To : Simplify rational expressions

When you need to compute the square root of a number you can do it by breaking it into perfect squares. When you can split the given number into small perfect squares you can cancel out the square root of the expression to the square of the perfect squares. You cannot always w ...more

### How To : Graph Mario on a TI-83 Calculator

When it comes to graphing and comparing functions, the TI-83 graphing calculator is the end-all device for math and science students. But one of the most entertaining aspects of Texas Instruments' powerful algebraic and trigonometric calculator is not the equations themselves, ...more

### How To : Subtract fractions with unlike denominators

In order to subtract mixed fractions, you'll need to look at the denominators carefully. If the denominators do not match, you'll need to find a common denominator. For example, 5 2/3 minus 3 4/5 do not have the same denominator. The lowest common denominator for them is 15. ...more

### How To : Solve an algebraic equation

Math can be tricky, especially when you're trying to decipher algebra. It's a love-hate thing; if you don't love math, then you hate it, and there's no in-between. But it doesn't have to be a pain to solve a few problems. It's actually quite simple once you figure it out. An a ...more

### How To : Determine if a point lies on a line in standard form

In this video, we learn how to determine if a point lies on a line in standard form. In order to do this, you will need to substitute the X and Y value with the ordered pair that is given. The X value is the first number and the Y value is the second number. Re-write your equa ...more

### How To : Understand exponents

To understand how exponents work, you will need to think of simplification. There are ways to simplify equations, and using exponents is one of those ways. 3 x 3 x 3 can be simplified by raising the number 3 to the third power. There are also rules for exponents. There are or ...more

### How To : Create Automated Redstone Games in Minecraft

Welcome to Minecraft World! Check out our advanced tutorials and come play on our free server. You may know that Minecraft is an excellent creative tool, but perhaps less well known are the fascinating array of redstone powered games that have been made by players like you. ...more

### Tor vs. I2P : The Great Onion Debate

In my recent Darknet series, I attempted to connect the dots on the Deep Web. I covered the two largest anonymity networks on the Internet today, Tor and I2P. While my initial four articles were meant as an introduction, I ended up receiving a lot of interesting comments and m ...more

### How To : Multiply mixed numbers with whole numbers

This video shows us how to multiply mixed numbers with the whole numbers. First thing you need to do is to change the mixed number into an improper fraction by multiplying the denominator with the whole number and add the resulting number with the numerator. The resulting numb ...more

### How To : Multiply mixed numbers easily

This video tutorial shows you how to multiply mixed numbers. When doing this the first thing that you want to do is put the mixed numbers into a improper fraction form. From this step you can simplify the numbers based on what you are using. In this case you can take out the 3 ...more

### How To : Reduce fractions to their simplest form in basic math

This video teaches us the method to simplify the fractions. Let us take an example of 18/24. Find a number that goes into both 18 and 24. Divide the top and bottom by the same number. Here, 2 will go into both numbers. So, the number now becomes (18/2)/(24/2) which gives 9/12. ...more

### How To : Reduce and simplify fractions

In this tutorial, we learn how to reduce and simplify fractions. When you do this, you want to make sure you have taken common factors out of the top and bottom, then divide them out until the only common factor is the number one. You will keep going until you get to this poin ...more

### How To : Simplify a radical expression

Doug Simms online shows how to simplify the radical in a mathematical equation. If you need to brush up on your learning this video can help. Start by finding what is the largest square of the number in your radical. If that number can be solved then solve it, put the answer o ...more

### How To : Reduce fractions in math problems

In this math tutorial, you will learn how to reduce fractions using the prime factoring method. The narrator, a math teacher, of the video begins by defining what prime numbers are. This is important to know. When reducing fractions you need to reduce both the numerator and th ...more

### How To : Convert fractions to decimals easily

This video teaches you how to convert fraction to decimals in three easy steps. The process of decimal to fraction conversion involves the use of the fundamental rule of fractions; the fraction should be written in its lowest terms. Write down the decimal divided by 1. Multip ...more

### How To : Isolate a variable

If you're struggling a bit with algebra, check out this video to learn how to isolate a variable. Isolating a variable is a matter of separating and simplifying. Step 1: Bring like terms together Bring like terms together. All equations have two sides. You want to perform t ...more

### How To : Multiply integers

This video shows the basics of multiplying integers. The main point that people can struggle with is the variation of signs. When multiplying integers you must always be aware of the positive and negative numbers. When you multiply two numbers that have the same signs, both po ...more

### How To : Add two digit numbers

Addition got you down? An expert instructor from Khan Academy walks you through the mysteries of adding two numbers together by breaking it down into easy to understand terms. Fun animated chalkboard examples make it easy for kids and adults alike to learn how to add. Also dem ...more

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