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:
$=7(2)\sqrt{7}
\\=14\sqrt{7}$
Thinking Mathematically (6th Edition)
by Blitzer, Robert F.
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: 23
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