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 - Page 533: 116

Answer

See the explanation below.

Work Step by Step

The radical $3\sqrt [3] {x}$ can be re-written in the power notation as : Since, $\sqrt{ab}=\sqrt a \sqrt b$ Thus, $\sqrt[n]{ab}=\sqrt[n] a \sqrt[n] b$ Here, $n$ refers as index. $ 3\sqrt [3] {x} =\sqrt[3] {3^3} \sqrt [3] x$ or, $= \sqrt[3] {27x}$ Hence, In order to triple the cube root, the number should be be multiplied by $27$.
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