Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.4 - Rationalizing the Denominator - Exercise Set: 19

Answer

$\frac{x^2\sqrt{2}}{2}$

Work Step by Step

$\sqrt{\frac{x^4}{2}}$ Use the quotient rule for square roots. $\frac{\sqrt{x^4}}{\sqrt{2}}$ Simplify the numerator. Rationalize the denominator. $\frac{x^2}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}$ Use product rule for square roots. $\frac{x^2\sqrt{2}}{2}$
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