Chapter 10 - Radical Expressions and Equations - 10-3 Operations with Radial Expressions - Lesson Check - Page 616: 2

$\sqrt6$

Work Step by Step

$3\sqrt6-\sqrt{24}\longrightarrow$ factor out the perfect square from 24 $3\sqrt6-\sqrt{4\times6}\longrightarrow$ multiplication property of square roots =$3\sqrt6-(\sqrt4\times\sqrt6)\longrightarrow$ simplify =$3\sqrt6-2\sqrt6\longrightarrow$ use distributive property =$\sqrt6(3-2)\longrightarrow$ simplify =$\sqrt6$

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