Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.2 - Exponents and Radicals - 1.2 Exercises: 3

Answer

a) $5^{\frac{1}{3}}$ b) $\sqrt 5$ c) No. $\sqrt(25)$ = 5 =$\sqrt 5$ * $\sqrt 5$

Work Step by Step

a)$\sqrt[3] 5$ = $\sqrt[3]( 5^{1})$= $5^{\frac{1}{3}}$ b) $5^{\frac{1}{2}}$ = $\sqrt[2]( 5^{1})$ = $\sqrt 5$ c) Another way of looking at it with exponents: $\sqrt (5^{2})$ = ${{5^2}^{\frac{1}{2}}}$ = ${5^1}$ = 5 ${\sqrt 5}^{2}$= ${5^{\frac{1}{2}}}^{2}$ = 5
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