# 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.

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?

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