Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Lesson Check - Page 623: 9


The answer is below.

Work Step by Step

To see if a radical is in simplified form, we see if any of its factors are perfect squares (which means that their square root will be an integer). Consider $ \sqrt 12$. It has factors of 3 and 4. 3 is not a perfect square, but 4 is. Thus, we know we can simplify $ \sqrt 12$ to $ 2\sqrt 3$.
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