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: 3

Answer

$6|x|$

Work Step by Step

In this exercise, $36$ is a perfect square, and $x^2$ is also a perfect square. Take the square roots of $36$ and $x^2$: $6x$ According to the $n$th root of $n$th Powers Property, which states that for any number $a$, for the expression $\sqrt[n] {a^n}$, if $n$, which is both the value of the index and of the exponent, is even, then we need to put $a$ inside absolute value sign: $6|x|$
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