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: 22

Answer

(a) $6\sqrt[3]{3}$ (b) $\frac{2\sqrt{3}}{5}$ (c) $\frac{3\sqrt{2}}{7}$

Work Step by Step

(a) $2\sqrt[3]{81}=2\sqrt[3]{3*3^{3}}=2*3\sqrt[3]{3}=6\sqrt[3]{3}$ (b) $\frac{\sqrt{12}}{\sqrt{25}}=\frac{\sqrt{3*2^{2}}}{5}=\frac{2\sqrt{3}}{5}$ (c)$\sqrt{\frac{18}{49}}=\sqrt{\frac{2*3^{2}}{7^{2}}}=\frac{3\sqrt{2}}{7}$
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