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 - Lesson Check: 7

Answer

The student was correct in saying that $2$ is a fourth root of $16$ The student was wrong in saying that $2$ is the only fourth root of $16$ because 16 has two real roots: $2$ and $-2$.

Work Step by Step

The student was right in saying that $2$ is a fourth root of $16$ However, the student was wrong in saying that $2$ is the only fourth root of $16$. Note that $2^4=16 \text{ and} \\(-2)^4=16.$ Thus, 16 has two real fourth roots: $-2$ and $2.$
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