If sqrt{frac{x}{169}} = frac{54}{39},then x i | vedclass

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(B) Given the equation: $\sqrt{\frac{x}{169}} = \frac{54}{39}$Square both sides of the equation:$\frac{x}{169} = \left(\frac{54}{39}\right)^2$$\frac{x

Vedclass · Accepted Answer

$324$

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(B) Given the equation: $\sqrt{\frac{x}{169}} = \frac{54}{39}$Square both sides of the equation:$\frac{x}{169} = \left(\frac{54}{39}ight)^2$$\frac{x}{169} = \frac{54 	imes 54}{39 	imes 39}$Since $39^2 = 1521$ and $169 = 13^2$,we can simplify the expression:$x = \frac{54 	imes 54}{39 	imes 39} 	imes 169$Note that $169 = 13 	imes 13$ and $39 = 3 	imes 13$,so $\frac{169}{39 	imes 39} = \frac{169}{1521} = \frac{1}{9}$.Therefore,$x = \frac{54 	imes 54}{9} = 6 	imes 54 = 324$.

If $\sqrt{\frac{x}{169}} = \frac{54}{39}$,then $x$ is equal to

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