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: 12

Answer

$\frac{\sqrt{10}}{2}$

Work Step by Step

$\sqrt{\frac{5}{2}}$ Use the quotient rule for square roots. $\frac{\sqrt5}{\sqrt{2}}$ Rationalize the denominator, $\frac{\sqrt5}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}$ Simplify. $\frac{\sqrt5\times\sqrt{2}}{2}$ Use the product rule for square roots. $\frac{\sqrt{10}}{2}$
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