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: 33

Answer

$2\sqrt{5x}$

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: $=2\sqrt{9(5x)}-2\sqrt{4(5x)} \\=2\sqrt{3^2(5x)} -2\sqrt{2^2(5x)} \\=2\cdot 3\sqrt{5x} -2\cdot 2\sqrt{5x} \\=6\sqrt{5x}-4\sqrt{5x}$ RECALL: For any real numbers $, a, b,$ and $c$, $ac+bc=(a+b)c$ Use the rule above to combine like terms: $=(6-4)\sqrt{5x} \\=2\sqrt{5x}$
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