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: 23

Answer

$3\sqrt{5}$

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: $=\sqrt5+\sqrt{4(5)} \\=\sqrt5 + \sqrt{2^2(5)} \\=\sqrt5 + 2 \sqrt5$ RECALL: For any real numbers $a, b,$ and $c$, $ac+bc=(a+b)c$ Use the rule above to combine like terms: $=(1+2)\sqrt{5} \\=3\sqrt{5}$
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