# Square Root

### How To : Solve quadratic equations by square root method

In this video the instructor shows how to solve quadratic equation by the square root method. The square root property of equations states that if k is positive and a*a = k, then a is equal to square root of k or -1 times the square root of k. So to solve a quadratic equation ...more

### How To : Stretch, shift & reflect the graph of a square root

Professor ElvisZap teaches you how to stretch shift and reflect the graph of a square root. A square root function is the opposite of a squared function. You start with y=square root of (x-1) it becomes 0<=x-1. then 1 <=x. You use the graph and solve it as you would for any fu ...more

### How To : Graph square root functions & inequalities

On Yay Math, Robert Ahdoot, founder of Yay Math, will show you some square root functions and some inequalities. He begins with the problem y=x². Then he makes a sketch with two intersecting lines in a t shape. The problem is illustrated by a curved U shape, the U's bottom res ...more

### How To : Graph x squared & the square root of x

In this video the instructor shows how to sketch the graph of x squared and square root of x. The first equation is the x squared which is y = x * x. Now to sketch this take a sample values of x and substitute in the equation to get the value of y. Similarly find the set of po ...more

### How To : Use the square root function in an Excel spreadsheet

This tutorial demonstrates how to use the Excel function SQRT. This allows you to determine the square root of any number, within a spreadsheet program.

### How To : Find the square root of a number in basic arithmetic

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps. With this installment from Internet pedagogical sup ...more

### How To : Find the graph of a square root function

From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just study for that next big test). With this in ...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 : Solve quadratic equations with the square root rule

In algebra, you can solve a quadratic equation by applying the square root rule. With a squared term and a constant, the special quadratic equation is easily solved. Could you use a little help figuring out how to divide fractions? Watch this free video lesson. From Ramanujan ...more

### How To : Compute a square root using the geometric method

With mathematics, as with anything else, not everyone progresses at the same rate. Happily, in the age of Internet video tutorials, this isn't a problem. Those who progress quickly can go beyond what's being taught them and those who are struggling likewise have all the time i ...more

### How To : Simplify square roots easily

robichaudd teaches you how to simplify square roots. When you're dealing with variables, even powers and you want to find out the square root of it, you follow the process. Divide the power by the root, which is two, because it's a square root, that gives you what comes out. I ...more

### How To : Estimate Square Roots

What Is a Square Root and a Radicand? A square root is a number that when multiplied by itself, results in its original number. For example, the square root of 16 is 4 because 4 • 4 = 16. A radicand is the value that you want to find the root of. For example, 16 is the radic ...more

### How To : Simplify square roots w/ product & quotient rules

In this math tutorial, you will learn how to simplify square roots with product and quotient rules. To begin, you will need to multiply the square roots so that the two square roots in your equation are reduced down into one. The rule for non-negative "A" and "B" is that the s ...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 : 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 : Evaluate square roots

This is the video about how to evaluate square roots. The square root of a number is a number that you can square to get it, that is, a number that you can multiply by itself to get the number. So, 2 is a square root of 4, because 2 x 2 = 4, and 3 is a square root of 9, becaus ...more

### How To : Solve equations involving square roots

Equations involving square roots are difficult to solve because of the complexity involved in performing operations on the square root terms. But you can follow a series of steps to solve these problems easily. To solve these kind of problems first isolate the square root term ...more

### How To : Calculate square roots of numbers by hand in algebra

In this math lesson, you will learn how to find the square root of a number without using a calculator. You can even find the square roots of large numbers by following this simple algorithm. The above video demonstrates how to find the square root by hand. Sometimes you migh ...more

### How To : Solve square roots in algebra

In this lesson we will learn about one of the most important concepts in algebra SQUARE ROOTS. The square root of a number m is another number n that satisfies the following formula: m = n x n. You can also say that m is the square of n. The opposite of squaring a number is f ...more

### How To : Rationalize square roots

In this tutorial, we learn how to rationalize square roots. You cannot have square roots in the denominator of an equation. You need to multiply so the square root goes away. You can do this by multiplying the top and bottom of the equation by the bottom denominator. From here ...more

### How To : Simplify Square and Cube Roots

Whenever you simplify a square root or a cube root you are writing them in the simplest form. This video teaches a factoring method. The factoring method Involves factoring the numbers under the radical. If the problem is a square root look for pairs, and for cube roots look ...more

### How To : Multiply and simplify square roots

In this tutorial we learn how to multiply and simplify square roots. When you multiply square roots, you will first need to put them under one radical. From here, you will need to factor out what you have. Once you find a perfect square, find the square root of it. You can eit ...more

### How To : Simplify square roots

This is a video tutorial on how to simplify square roots. To simplify square roots, one must have the knowledge of splitting numbers into prime factors. For example,12 can be split into 4*3 and further more into 2*2*3. Here we see that all the factors are prime numbers. So the ...more

### How To : Simplify surds (improper square roots)

Could you use a little help figuring out how to simplify numbers left in square root form? Watch this free video lesson. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks ...more

### How To : Simplify radicals & square roots using exponent rules

See how to apply exponent rules to simplify radicals or square roots with this free video math lesson from Internet pedagogical superstar Simon Khan. Looking for a primer on how to solve matrix problems using a TI-89 graphing calculator? See how it's done with this free video ...more

### How To : Multiply fractions, polynomials, signed numbers, exponents, and square roots

Multiplying two whole numbers together is pretty easy, it's multiplying all the other types of numbers out there where it gets tricky. Watch this video for quick instructions on how to multiply fractions, exponents, polynomials, signed numbers, and square roots.

### How To : Solve quadratic equations by square roots

This video walks you through the steps of solving quadratic equations by square roots. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will ma ...more

### How To : Solving square roots and real numbers

This video walks you through the steps of solving square roots and real numbers. This excellent video shows you a clean blackboard, with the instructors voice showing exactly what to do. Don't fret, any question you may have, will be answered. Watching this video will make you ...more

### How To : Calculate square roots on paper the easy way

Perhaps not as easy as using a calculator, but easy nevertheless! With mathematics, as with anything else, not everyone progresses at the same rate. Happily, in the age of Internet video tutorials, this isn't a problem. Those who progress quickly can go beyond what's being tau ...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 : Estimate Square Roots

In this how to you will learn how to estimate square roots. You could use this in the real world if you are an engineer or if you are a video game designer. Here is a video to help you understand. Video: .

This video in the Education category will show you how to simplify radicals before adding or subtracting. By doing this you will find all like radicals which will then ensure that you have all radicals in the simplest form. Let’s say you want to subtract square root of 45 from ...more

### How To : Find Leg Lengths and Hypotenuse of a 45 45 90 Triangle

A 45 45 90 triangle is a special right triangle because you can use short cuts to find leg length and hypotenuse length. This video solves two problems involving leg length and hypotenuse length. Video: . Highlights of the video A 45-45-90 triangle is an isosceles triangle, w ...more

Radicals are square roots which are not integers; the square roots of 2 or 3 are examples of radicals. The presenters show simple ways of how to add and subtract such radicals. They explain that by using the method of factoring, the addition or subtraction is made very easy. I ...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 : Solve the six problem solution

Solving 6 math problems using different methods is the idea behind this video. First, you make three rows of numbers vertically from 1-9. All the numbers match across for example, 1 1 1, 2 2 2, 3 3 3, and so on. Each set of numbers creates a mathematical problem who's solution ...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 : Divide similar radicals

While dividing the radicals, the numerator and the denominator must be combined into a single term, for example if we want to divide square root of 3 by square root of seven we need to combine the numerator and denominator into a single factor that is square root of 3/7, then ...more

### How To : Understand and work with rational & irrational numbers

In this video the instructor explains the concepts of rational and irrational numbers. Multiplying a number by itself gives the value of its square. If you apply the square root to that squared number it returns to you the original number. This square root is also called a rad ...more

### How To : Rationalize the denominator

In this video, we learn how to rationalize the denominator. This says that if there is a square root or any type of root, you need to get rid of them. Look at the examples given in the video to get an idea of what types of roots you will be removing and how to do it. To get ri ...more

### How To : Use the Pythagorean theorem

Pythagoras was a smart man, so smart that his mathematical theory is named after him and still used today, more than 2,000 years later: the Pythagorean theorem. It implies that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two ...more

### How To : Find the geometric mean

It doesn’t matter how long ago your last geometry class was, you can still impress your friends by finding a geometric mean. The geometric mean can be used to find the average of numbers with out unusually high or low results effecting the result. The geometric mean of two nu ...more

### How To : Solve an equation with a radical under a radical

In this video the instructor shows how to solve an equation with a radical under a radical. If you have an equation with a square root on both sides, with one of the sides having another inner square root under the original square root, it can be a little tricky to solve it. ...more

### How To : Rationalize a denominator that contains a surd

In this video, we learn how to rationalize a denominator that contains a surd. First, you need to rationalize the denominator by removing any square root sign. To do this, you will multiply the fraction but the flip of the denominator over itself, with the square root. Then, y ...more

### How To : Understand nth roots and operations on radicals

This video teaches us the concept of nth roots. The video starts with the square root of constants. We find the number which when multiplies by itself for two times results in the constant inside the square root. Then we find the square root of variables. Here again the same c ...more

### How To : Solve radical equations easily

In this video, the instructor demonstrates how to solve radical equations and inequalities. If you have an equation that contains radicals, re-,arrange the equation so that all the radicals are on one side and the integers are on the other side. To cancel a square root from an ...more

### How To : Simplify a quadratic formula result

In this video the tutor shows how to simplify a quadratic formula result. You can solve a quadratic equation using the quadratic formula. The first thing you have to do when given the quadratic equation is bring all the terms to one side so that you have a zero on the other si ...more

### How To : Antidifferentiate functions with radicals in calculus

This video demonstrates how to do anti-differentiate functions with radicals in calculus. To simply problems, try to substitute. For example, in the problem, the integral of x times the square root of x plus 2 dx. You can substitute w for everything underneath the radical: i.e ...more

### How To : Write a logarithm as a sum or difference of logarithms

This video shows the method to write a logarithm as a sum or difference of logarithms. The square root of the term given is taken out as half according to the rule. Then the numerator and denominator is divided into product of factors. This is broken into the difference of num ...more

### How To : Simplify radical expressions

In this video the instructor shows who to simplify radicals. If you have a term inside a square root the first thing you need to do is try to factorize it. First factorize the numerical term. Write down the numerical terms as a product of any perfect squares. Now split the ori ...more

### How To : Find standard deviation

In this video tutorial, viewers learn how to calculate the standard deviation of a data set. The standard deviation of a statistical population, a data set, or a probability distribution is the square root of its variance. To calculate the standard deviation, users will need t ...more

### How To : Pythagorean Theorem

What Is Pythagorean Theorem? Pythagorean Theorem is an equation discovered by a man named Pythagoras. It can be used to determine whether or not a triangle is a right triangle and find missing lengths of a triangle. The equation is: Parts of a Triangle The hypotenuse is the ...more

### How To : Use the distance formula

YAYMATH. This video is a demonstration of usage of the distance formula to find the distance between two given (x,y) points. In this video, the tutor guy who is teaching the distance formula to his students takes an example of two (x,y) points such as (5,-1) and (11,7). He the ...more

### How To : Calculate standard deviation

Looking to find the standard deviation of your set of values? Standard deviation quantifies how diverse the values of your data set are, and is useful in determining how different your numbers are from each other. You Will Need: • Data • A calculator Step 1: Collect your d ...more

### How To : Factor perfect square polynomials

Learn how to factor perfect square polynomials and how to solve equations using the square root property. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Interne ...more

### How To : Use imaginary numbers in intermediate algebra

Learn how to work with i, the imaginary square root of negative 1, in intermediate algebra. From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier ...more

### How To : Square expressions involving radicals

Here we look at squaring expressions that involve radicals because people tend to make some common mistakes while solving such expressions. Take 5 times the square root of y quantity squared, the answer here is not 5y. Here's the reason, square means to multiply something with ...more

### How To : Do operations with radical expressions

Radical expressions are those in which the radical symbol (under root sign denoting the square root or the nth root) is present (either multiplied or added). Solving these is a bit tricky, but involves similar algebraic maneuvers in a different way. This video begins with an ...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 : Understand fractional exponents

In this tutorial, we learn how to understand fractional exponents. Starting with an example, let's say you have the square root of four as an equation. The answer to this is two. A fractional exponent is not much different than this problem. Let's say you have 4 to the 1/2 pow ...more

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