Calculate $50$ to the power of $2$ and get $2500$.
$$\sqrt{2500-\frac{50^{2}}{4}}$$
Calculate $50$ to the power of $2$ and get $2500$.
$$\sqrt{2500-\frac{2500}{4}}$$
Divide $2500$ by $4$ to get $625$.
$$\sqrt{2500-625}$$
Subtract $625$ from $2500$ to get $1875$.
$$\sqrt{1875}$$
Factor $1875=25^{2}\times 3$. Rewrite the square root of the product $\sqrt{25^{2}\times 3}$ as the product of square roots $\sqrt{25^{2}}\sqrt{3}$. Take the square root of $25^{2}$.