Question

AUFBALG8 10.2.036.13. [0/2 Points]DETAILSPREVIOUS ANSWERSSimplify-2V 24y2 + 5V 9672XNeed Help?Watch ItAdditional MaterialseBook

Answer 1

Given:

The expression is,

`-2\sqrt[]{24y^2}+5\sqrt[]{96y^2}`

The objective is to simplify the expression.

The expression can be simplified as,

`\begin{gathered} =-2\sqrt[]{2*2*2*3* y* y}+5\sqrt[]{3*2*2*2*2*2* y* y} \\ =-2(2)(y)\sqrt[]{2*3}+5(2)(2)(y)\sqrt[]{2*3} \\ =-4\sqrt[]{6}y+20\sqrt[]{6}y \\ =16\sqrt[]{6}y \end{gathered}`

Hence, the simplified expression is 16(√6)y.