# Square Roots and Radicals 5

Taught by YourMathGal
• Currently 4.0/5 Stars.
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Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, you will learn how to simplify square roots by taking out perfect squares. You will be shown how to tell if a square root is simplified, and how to rewrite the number as a perfect square times something to make it easier to simplify. The shortcut method of circling the perfect square and writing it outside of the square root sign is also demonstrated. You will see how to simplify square roots with variables, and how to verify your answers with a calculator.

Lesson Description:

Learn to simplify / break down square roots by taking out perfect squares.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

• How do you simplify or break down square roots?
• How do you know if a square root is simplified?
• How do you break down the square root of 12?
• Why does sqrt(12) = 2*sqrt(3)?
• How can you simplify the square root of 18?
• How can you break down the square root of 50?
• How do you simplify the square root of 54?
• What does the square root of 72 break down into?
• How do you simplify 3*sqrt(75)?
• How can you simplify the square root of x^15?
• How do you break down square roots of variables to an exponent?
• #### Staff Review

• Currently 4.0/5 Stars.
This is one of the most useful applications of square roots in Algebra. You will learn to break down square roots by pulling out perfect squares from under the square root. All steps to several example problems are shown and explained. This is a great tutorial for simplifying square roots.