Multiplying Square Roots (or Radicals)

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

Related Topics: More Lessons on Radicals

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:





The following video shows more examples of multiplying square roots or radicals and using prime factorization to simplify.



The following video shows more 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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