Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 9 - Solving Quadratic Equations - 9.1 - Properties of Radicals - Exercises - Page 485: 19

Answer

$-9m\sqrt{m}$.

Work Step by Step

The given expression is $=-\sqrt{81m^3}$ Factor as square terms. $=-\sqrt{81m^2\cdot m}$ Use product property of square roots. $=-\sqrt{81}\cdot \sqrt{m^2}\cdot \sqrt{m}$ Use $81=9^2$. $=-\sqrt{9^2}\cdot \sqrt{m^2}\cdot \sqrt{m}$ Simplify. $=-9m\sqrt{m}$.
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