Question

Evaluate the following:
$\left\{\right(5^2+{12}^2{)}^{\frac{1}{2}}{\}}^3$

Answer 1

Step: Evaluate the expression

On simplifying, we get

$\left\{\right(5^2+{12}^2{)}^{\frac{1}{2}}{\}}^3$

$=\left\{\right(25+144{)}^{\frac{1}{2}}{\}}^3$

$=\left\{\right(169{)}^{\frac{1}{2}}{\}}^3$

$=(13{)}^3$

$=13\times 13\times 13$

$=2197$

Hence, $\left\{\right(5^2+{12}^2{)}^{\frac{1}{2}}{\}}^3=2197$