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 - 6-3 Binomial Radical Expressions - Practice and Problem-Solving Exercises - Page 380: 77

Answer

$6$

Work Step by Step

Using $\sqrt[n]{\dfrac{x}{y}}=\dfrac{\sqrt[n]{x}}{\sqrt[n]{y}},$ the given expression is equivalent to: \begin{align*} & =\sqrt[]{\dfrac{216}{6}} \\\\&= \sqrt[]{36} \\\\&= \sqrt[]{6^2} \\\\&= 6 \end{align*} Hence, the simplified form of the given expression is $ 6 $.
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