Question

$[{\left(13\right)}^2+\sqrt[3]{31728}-\sqrt{441}]÷4^2\times {15}^3$ equals

• A. $\frac{2}{675}$
• B. $33750$
• C. $\frac{2}{45}$
• D. $4850$

Answer 1

The correct option is B $33750$

$\left[\right(13{)}^2+\sqrt[3]{31728}-\sqrt{441}]÷4^2\times {15}^3$

$\Rightarrow$ $[169+12-21]÷16\times 3375$

$\Rightarrow$ $\left[160\right]÷16\times 3375$

$\Rightarrow$ $\frac{160}{16}\times 3375$

$\Rightarrow$ $10\times 3375$

$\Rightarrow$ $33750$

$\therefore$ $\left[\right(13{)}^2+\sqrt[3]{31728}-\sqrt{441}]÷4^2\times {15}^3=33750$