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 - Page 591: 35



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: $=\sqrt{4(2)}+\sqrt{4^2}+\sqrt{9(2)}+\sqrt{5^2} \\=\sqrt{2^2(2)}+4+\sqrt{3^2(2)}+5 \\=2\sqrt{2}+4+3\sqrt{2}+5$ RECALL: For any real numbers $, a, b,$ and $c$, $ac+bc=(a+b)c$ Use the rule above to combine like terms: $=(2\sqrt{2}+3\sqrt{2}) + 4+5 \\=(2+3)\sqrt{2}+9 \\=5\sqrt{2}+9$
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