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  • 08-08-2018
  • Mathematics
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how do you simplify this.
[tex] \sqrt{24x ^{2} } y ^{3} [/tex]

how do you simplify this tex sqrt24x 2 y 3 tex class=

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jdoe0001 jdoe0001
  • 08-08-2018

[tex] \bf \sqrt{24x^2y^3}~~
\begin{cases}
24=2\cdot 2\cdot 2\cdot 3\\
\qquad 2^2\cdot 6\\
y^3=y^{2+1}\\
\qquad y^2\cdot y^1
\end{cases}
\\\\\\
\sqrt{2^2\cdot 6\cdot x^2\cdot y^2\cdot y^1}\implies
2xy\sqrt{6y} [/tex]

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