Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - Mid-Chapter Quiz - Page 389: 7

Answer

$72x^2y$

Work Step by Step

Use the rule $\sqrt{a} \cdot \sqrt{b} = \sqrt{ab}$ where $a,b>0,$ to obtain: $=(6 \cdot 2) \sqrt {4 \cdot 9 \cdot x^2 \cdot x^2 \cdot y^2}$ Simplify: $=12 \sqrt {36 \cdot x^4 \cdot y^2}$ Factor the radicand: $=12 \sqrt {6^2 \cdot (x^2)^2 \cdot y^2}$ Take the square roots: $=12 \cdot 6 \cdot x^2 \cdot y$ $=72x^2y$
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