Calculate $579$ to the power of $2$ and get $335241$.
$$225\sqrt{\frac{225}{335241}}$$
Reduce the fraction $\frac{225}{335241}$ to lowest terms by extracting and canceling out $9$.
$$225\sqrt{\frac{25}{37249}}$$
Rewrite the square root of the division $\frac{25}{37249}$ as the division of square roots $\frac{\sqrt{25}}{\sqrt{37249}}$. Take the square root of both numerator and denominator.
$$225\times \frac{5}{193}$$
Express $225\times \frac{5}{193}$ as a single fraction.