Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.4 The Irrational Numbers - Exercise Set 5.4 - Page 296: 64

Answer

$\dfrac{13\sqrt{10}}{20}$

Work Step by Step

Rationalize the denominator by multiplying $\sqrt{10}$ to both the numerator and denominator: $=\dfrac{13\sqrt{10}}{\sqrt{40}(\sqrt{10})} \\=\dfrac{13\sqrt{10}}{\sqrt{400}} \\=\dfrac{13\sqrt{10}}{20}$
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