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Multiplying Square Roots (or Radicals)

In these lessons, we will look at how to multiply square roots (radicals) of whole numbers, decimals and fractions.

Related Topics: More Lessons on Radicals


The following table shows the Multiplication Property of Square Roots. Scroll down the page for examples and solutions on how to multiply square roots.

Multiplication Property of Square Roots

A. When a square root of a given number is multiplied by itself, the result is the given number.

for any positive number x.

Example:

Evaluate

Solution:



B . Product of two square roots of two positive numbers a and b is equal to the square root of product ab,

for any positive numbers a and b.

Example:

Evaluate

Solution:





Examples of multiplying square roots or radicals and using prime factorization to simplify Examples of multiplying square roots or radicals and using the perfect square method to simplify How to multiply square roots? How to multiply square roots with fractions?

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

Fraction Concoction Game


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