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 - Review Exercises - Page 577: 37

Answer

$2x\sqrt {5x}$

Work Step by Step

Simplify . $\sqrt{20x^3}$ As per the product rule, we have $\sqrt[n] {pq}=\sqrt[n] {p}\sqrt[n] {q}$ $\sqrt{20x^3}=\sqrt {20}\sqrt {x^3}$ Thus, $=\sqrt {4 \cdot 5} \sqrt{(x)^3}$ or, $=\sqrt {4x^2} \sqrt {5x}$ Hence, the above exponent in radical form can be written as: or, $2x\sqrt {5x}$
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