Subtract $4624$ from $171421128$ to get $171416504$.
$$\sqrt{171416504}$$
Factor $171416504=14^{2}\times 874574$. Rewrite the square root of the product $\sqrt{14^{2}\times 874574}$ as the product of square roots $\sqrt{14^{2}}\sqrt{874574}$. Take the square root of $14^{2}$.