# Question #b2ec6

Feb 15, 2018

The final answer is $31875 \sqrt{53}$ which is about $232053.503 \ldots$

#### Explanation:

Multiply the fractions and simplify $\sqrt{25}$ to $5$:

$125 \left(\frac{2}{3}\right) \cdot \sqrt{25} \cdot 3 \sqrt{53} \cdot \frac{51}{2}$

$\frac{250}{3} \cdot \sqrt{25} \cdot 3 \sqrt{53} \cdot \frac{51}{2}$

$\frac{250}{3} \cdot 5 \cdot 3 \sqrt{53} \cdot \frac{51}{2}$

$\frac{250}{3} \cdot 5 \cdot \frac{51}{2} \cdot 3 \sqrt{53}$

$\frac{63750}{6} \cdot 3 \sqrt{53}$

$10625 \cdot 3 \sqrt{53}$

$31875 \sqrt{53}$

$\approx 232053.503 \ldots$