Question
Evaluate the following$:\left(1-\frac{15}{64}\right)^{-\frac{1}{2}}$

Answer

$\left(1-\frac{15}{64}\right)^{-\frac{1}{2}}$
$ =\left(\frac{64-15}{64}\right)^{-\frac{1}{2}} $
$=\left(\frac{49}{64}\right)^{-\frac{1}{2}}$
$ =\left(\frac{64}{49}\right)^{\frac{1}{2}} $
$=\frac{8}{7} .$

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