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 - Page 600: 30



Work Step by Step

$\frac{13}{\sqrt{40}}$ Simplify by factoring out perfect squares. $\frac{13}{\sqrt{(4)(10)}}$ Simplify. $\frac{13}{2\sqrt{10}}$ Rationalize the denominator. $\frac{13}{2\sqrt{10}}\times\frac{\sqrt{10}}{\sqrt{10}}$ Use product rule for square roots. $\frac{13\sqrt{10}}{20}$
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