Rewrite the square root of the division $\frac{14641}{2401}$ as the division of square roots $\frac{\sqrt{14641}}{\sqrt{2401}}$. Take the square root of both numerator and denominator.
$$\frac{\frac{121}{49}}{49\times 121}$$
Multiply $49$ and $121$ to get $5929$.
$$\frac{\frac{121}{49}}{5929}$$
Express $\frac{\frac{121}{49}}{5929}$ as a single fraction.
$$\frac{121}{49\times 5929}$$
Multiply $49$ and $5929$ to get $290521$.
$$\frac{121}{290521}$$
Reduce the fraction $\frac{121}{290521}$ to lowest terms by extracting and canceling out $121$.
