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: 123

Answer

$\sqrt{14}+ \sqrt{20}$.

Work Step by Step

The given expression is $=\sqrt2(\sqrt7+\sqrt{10})$ By using the distributive property: $=\sqrt2\cdot \sqrt7+\sqrt2\cdot \sqrt{10}$ Apply product rule. $=\sqrt{2\cdot 7}+ \sqrt{2\cdot10}$ Multiply. $=\sqrt{14}+ \sqrt{20}$.
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