Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Standardized Test Prep - Page 612: 79



Work Step by Step

Use mental math to quickly find the correct answer, as time is critical when taking a standardized test. You can see that $4y^4$ is a perfect square that can be factored out of $12y^5$, so the correct answer will contain $\sqrt{4y^4}=2y^2$. Only response C can be correct. Use the multiplication property of square roots to solve. $\sqrt{12y^5}=\sqrt{4y^4\times3y}=\sqrt{4y^4}\times\sqrt{3y}=2y^2\sqrt{3y}$
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