Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.3 - Multiplying and Simplifying Radical Expressions - Exercise Set: 10

Answer

$\sqrt[4]{18x^3}$

Work Step by Step

RECALL: For nonegative numbers a and b, $\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{ab}$ Also, $x^{a}+x^{b}=x^{a+b}$ Use the rules above to obtain: $=\sqrt[4]{6x^2\cdot 3x} \\=\sqrt[4]{18x^{2+1}} \\=\sqrt[4]{18x^3}$
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