Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 551: 106


$ \displaystyle \frac{6\sqrt{5}}{5}$

Work Step by Step

Rationalize $\displaystyle \frac{1}{\sqrt{5}}$ $\displaystyle \frac{1}{\sqrt{5}} \color{red}{ \cdot\frac{\sqrt{5}}{\sqrt{5}} }=\frac{\sqrt{5}}{5}$ $\displaystyle \sqrt{5}+ \frac{1}{\sqrt{5}}=\frac{\sqrt{5}}{1}+\frac{\sqrt{5}}{5}=\frac{5\cdot\sqrt{5}+\sqrt{5}}{5}$ $=\displaystyle \frac{6\sqrt{5}}{5}$
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