## Algebra 1

Published by Prentice Hall

# Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Practice and Problem-Solving Exercises - Page 610: 21

#### Answer

-18y$\sqrt (3y)$

#### Work Step by Step

-2 * $\sqrt (81 * 3 * y^{2} * y)$ Step 1: Split Numbers Into Perfect Squares -2 * $\sqrt (9^{2} * 9 * 3 * y^{2} * y)$ Explanation: 81 = 9 * 9 * 9 = $9^{2}$ * 9 Step 2: Remove all perfect squared numbers/variables and put them on the outside -2(9)(y) * $\sqrt (3y)$ Step 3: Simplify -18y$\sqrt (3y)$

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