College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises: 21

Answer

(a) $6\sqrt[3]{2}$ (b) $\frac{\sqrt{2}}{3}$ (c) $\frac{3\sqrt{3}}{2}$

Work Step by Step

(a) 3 $\sqrt[3]{16}=3\sqrt[3]{2*2^{3}}=3*2\sqrt[3]{2}=6\sqrt[3]{2}$ (b) $\frac{\sqrt{18}}{\sqrt{81}}=\sqrt{\frac{18}{81}}=\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{\sqrt{9}}=\frac{\sqrt{2}}{3}$ (c) $\sqrt{\frac{27}{4}}=\sqrt{\frac{3*3^{2}}{2^{2}}}=\frac{3\sqrt{3}}{2}$
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