College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises: 39

Answer

$7\sqrt{2}$

Work Step by Step

Factor each radicand so that one of the factors is a perfect square to obtain: $=\sqrt{16(2)} + \sqrt{9(2)} \\=\sqrt{4^2(2)}+\sqrt{3^2(2)}$ Simplify each radical to obtain: $=4\sqrt{2} + 3\sqrt{2}$ Combine like radicals to obtain: $=(4+3)\sqrt{2} \\=7\sqrt{2}$
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