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 - 6-1 Roots and Radical Expressions - Practice and Problem-Solving Exercises: 49

Answer

When $n$ is even: $\sqrt[n]{m^n} = |m|$ When $n$ is odd: $\sqrt[n]{m^n} = m$

Work Step by Step

The principal square root is always non-negative. This means that: When $n$ is even, then $\sqrt[n]{m^n} = |m|.$ When $n$ is odd, $\sqrt[n]{m^n} = m.$
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