Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises: 60

Answer

$\color{blue}{2m^3n^2\sqrt{6n}}$

Work Step by Step

Factor the radicand so that at least one factor is a perfect square to obtain: $=\sqrt{4(6)(m^6)(n^4)(n)} \\=\sqrt{(4m^6n^4)(6n)} \\=\sqrt{2^2(m^3)^2(n^2)^2(6n)}$ Bring out the square root of the perfect square factors to obtain: $=2\cdot m^3\cdot n^2\sqrt{6n} \\=\color{blue}{2m^3n^2\sqrt{6n}}$
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