Question

Simplify:${\left[\frac{(5.69{)}^2}{(34.5{)}^3+(96.2{)}^2}\right]}^{1/3}$

Answer 1

${\left[\frac{{\left(5.69\right)}^2}{{\left(34.5\right)}^3+{\left(96.2\right)}^2}\right]}^{\frac{1}{3}}$

$={\left[\frac{32.3761‬}{4165.875+9,254.44}\right]}^{\frac{1}{3}}$

$={\left[\frac{32.3761‬}{13420.315}\right]}^{\frac{1}{3}}$

$={0.0024125}^{\frac{1}{3}}$

$=0.13684$(approx)