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.

**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?**

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: *

* *

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