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: 28

Answer

$5\sqrt{7}$

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: $=\sqrt{4(7)}+\sqrt{9(7)} \\=\sqrt{2^2(7)} +\sqrt{3^2(7)} \\=2\sqrt{7} + 3\sqrt{7}$ RECALL: For any real numbers $a, b,$ and $c$, $ac+bc=(a+b)c$ Use the rule above to combine like terms: $=(3+2)\sqrt{7} \\=5\sqrt{7}$
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