NuviaY409315 NuviaY409315
  • 03-11-2022
  • Mathematics
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AUFBALG8 10.2.036.13. [0/2 Points]DETAILSPREVIOUS ANSWERSSimplify-2V 24y2 + 5V 9672XNeed Help?Watch ItAdditional MaterialseBook

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TeigenZ108241 TeigenZ108241
  • 03-11-2022

Given:

The expression is,

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

The objective is to simplify the expression.

The expression can be simplified as,

[tex]\begin{gathered} =-2\sqrt[]{2\times2\times2\times3\times y\times y}+5\sqrt[]{3\times2\times2\times2\times2\times2\times y\times y} \\ =-2(2)(y)\sqrt[]{2\times3}+5(2)(2)(y)\sqrt[]{2\times3} \\ =-4\sqrt[]{6}y+20\sqrt[]{6}y \\ =16\sqrt[]{6}y \end{gathered}[/tex]

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

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