The value of 108x83x2y2 = - Infinity Learn

A
$\frac{6 x^{3}}{x^{2} y^{2}}$
B
$\frac{6 x^{2}}{x^{2} y^{2}}$
C
$\frac{6 x^{2}}{x^{2} y^{2}}$
D
$\frac{6 x^{3}}{x y}$

Solution:

$\begin{array}{l} \sqrt{\frac{108 x^{8}}{3 x^{2} y^{2}}} \\ = \sqrt{\frac{36 x^{6}}{y^{2}}} \\ = \sqrt{{(\frac{6 x^{3}}{y})}^{2}} \\ = (\frac{6 x^{3}}{y}) \end{array}$

$= \frac{6 x^{4}}{x y}$

(or)

$\begin{array}{l} \sqrt{\frac{108 x^{8}}{3 x^{2} y^{2}}} \\ = \sqrt{\frac{36 x^{8}}{x^{2} y^{2}}} \\ = \frac{6 x^{4}}{x y} \end{array}$

The value of $\sqrt{\frac{108 x^{8}}{3 x^{2} y^{2}}} =$

Solution:

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