Introductory Algebra for College Students (7th Edition)

Published by Pearson

Chapter 8 - Section 8.3 - Operations with Radicals - Exercise Set - Page 591: 32

Answer

$15\sqrt{3}-9\sqrt{2}$

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: $=5\sqrt{9(3)}-3\sqrt{9(2)} \\=5\sqrt{3^2(3)} -3\sqrt{3^2(2)} \\=5\cdot 3\sqrt{3} -3\cdot 3\sqrt{2} \\=15\sqrt{3}-9\sqrt{2}$

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