Question

Evaluate the following:
${\left\{{\left({24}^2+7^2\right)}^{1/2}\right\}}^3$

Answer 1

${\left\{{({24}^2+7^2)}^{1/2}\right\}}^3$

$\Rightarrow {\left\{{(576+49)}^{1/2}\right\}}^3$

$\Rightarrow {\left\{{\left(625\right)}^{1/2}\right\}}^3$

$\Rightarrow {\left\{25\right\}}^3\Rightarrow 15625$

$\therefore {\left({\{{24}^2+7^2\}}^{1/2}\right)}^3=15625$