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: 11

Answer

$\frac{\sqrt{21}}{3}$

Work Step by Step

$\sqrt{\frac{7}{3}}$ Use the quotient rule for square roots. $\frac{\sqrt7}{\sqrt{3}}$ Rationalize the denominator, $\frac{\sqrt7}{\sqrt{3}}\times\frac{\sqrt{3}}{\sqrt{3}}$ Simplify. $\frac{\sqrt7\times\sqrt{3}}{3}$ Use the product rule for square roots. $\frac{\sqrt{21}}{3}$
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