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: 35

Answer

$3\sqrt{5}$

Work Step by Step

Use the quotient rule for radicals: $\dfrac{\sqrt{a}}{\sqrt{b}}=\sqrt{\dfrac{a}{b}}$ $=\sqrt{\dfrac{90}{2}} \\=\sqrt{45} \\=\sqrt{9(5)} \\=3\sqrt5$
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