## Algebra 1

Published by Prentice Hall

# Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz - Page 619: 21

#### Answer

$2x\sqrt3$

#### Work Step by Step

Area is length multiplied by width. Let a be the area. $a=\sqrt{6x}\times\sqrt{2x}\longrightarrow$ multiplication property of square roots $a=\sqrt{12x^2}\longrightarrow$ factor out perfect squares $a=\sqrt{4x^2\times3}\longrightarrow$ multiplication property of square roots $a=\sqrt{4x^2}\times\sqrt3\longrightarrow$ simplify $a=2x\sqrt3$

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