Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.3 - Operations with Radicals - Exercise Set: 25

Answer

$\sqrt{2}$

Work Step by Step

Simplify the radicals that can still be simplified by factoring the radicand so that one of the factors is a perfect square: $=\sqrt{4(2)}-\sqrt{2} \\=\sqrt{2^2(2)} - \sqrt{2} \\=2\sqrt2 -\sqrt2$ RECALL: For any real numbers $a, b,$ and $c$, $ac-bc=(a-b)c$ Use the rule above to combine like terms: $=(2-1)\sqrt{2} \\=1\sqrt{2} \\=\sqrt{2}$
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