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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

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.


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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