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 - Page 29: 24


(a) $12\sqrt{2}$ (b) $3$ (c) $5\sqrt[3]{9}$

Work Step by Step

(a) $\sqrt{12}\sqrt{24}=\sqrt{12*24}=\sqrt{288}=\sqrt{144*2}=\sqrt{2*12^{2}}=12\sqrt{2}$ (b) $\frac{\sqrt{54}}{\sqrt{6}}=\sqrt{\frac{54}{6}}=\sqrt{9}=3$ (c) $\sqrt[3]{15}\sqrt[3]{75}=\sqrt[3]{15*75}=\sqrt[3]{1125}=\sqrt[3]{125*9}=5\sqrt[3]{9}$
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