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.

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

• Show Step-by-step Solutions

Examples of multiplying square roots or radicals and using the perfect square method to simplify

• Show Step-by-step Solutions

How to multiply square roots?

• Show Step-by-step Solutions

How to multiply square roots with fractions?

• Show Step-by-step Solutions

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