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: 65

Answer

$\dfrac{\sqrt{10}}{5}$

Work Step by Step

Rationalize the denominator by multiplying $5$ to both the numerator and denominator inside the radical sign to have: $=\sqrt{\dfrac{2(5)}{5(5)}} \\=\sqrt{\dfrac{10}{5^2}} \\=\dfrac{\sqrt{10}}{5}$
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