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: 10

Answer

$\frac{\sqrt{21}}{7}$

Work Step by Step

$\sqrt{\frac{3}{7}}$ Use the quotient rule for square roots. $\frac{\sqrt3}{\sqrt{7}}$ Rationalize the denominator, $\frac{\sqrt3}{\sqrt{7}}\times\frac{\sqrt{7}}{\sqrt{7}}$ Simplify. $\frac{\sqrt3\times\sqrt{7}}{7}$ Use the product rule for square roots. $\frac{\sqrt{21}}{7}$
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