Algebra 2 Common Core

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

Chapter 8 - Rational Functions - Cumulative Standards Review - Multiple Choice - Page 560: 21

Answer

$5x^2y \sqrt {2xyz}$ The constant value under the radical sign is $2$.

Work Step by Step

Rewrite the radicand as the product of perfect squares and other factors: $\sqrt {25 \cdot 2 \cdot x^4 \cdot x \cdot y^2 \cdot y \cdot z}$ Take the square roots of all perfect squares: $5 \cdot x^2 \cdot y \sqrt {2 \cdot x \cdot y \cdot z}$ Multiply to simplify: $5x^2y \sqrt {2xyz}$ The constant value under the radical sign is $2$.
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