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: 23

Answer

$14\sqrt{7}$

Work Step by Step

Factor the radicand so that one factor is a perfect square: $=7\sqrt{4(7)} \\=7\sqrt{2^2(7)}$ Simplify the square root of the perfect square factor: $=7(2)\sqrt{7} \\=14\sqrt{7}$
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