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: 24

Answer

$6\sqrt{13}$

Work Step by Step

Factor the radicand so that one factor is a perfect square: $=3\sqrt{4(13)} \\=3\sqrt{2^2(13)}$ Simplify the square root of the perfect square factor: $=3(2)\sqrt{13} \\=6\sqrt{13}$
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