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: 27

Answer

$8\sqrt{2}$

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: $=\sqrt{25(2)}+\sqrt{9(2)} \\=\sqrt{5^2(2)} +\sqrt{3^2(2)} \\=5\sqrt{2} + 3\sqrt{2}$ RECALL: For any real numbers $a, b,$ and $c$, $ac+bc=(a+b)c$ Use the rule above to combine like terms: $=(5+3)\sqrt{2} \\=8\sqrt{2}$
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