Rewrite the square root of the division $\sqrt{\frac{589}{132}}$ as the division of square roots $\frac{\sqrt{589}}{\sqrt{132}}$.
$$1232\times \frac{\sqrt{589}}{\sqrt{132}}$$
Factor $132=2^{2}\times 33$. Rewrite the square root of the product $\sqrt{2^{2}\times 33}$ as the product of square roots $\sqrt{2^{2}}\sqrt{33}$. Take the square root of $2^{2}$.
$$1232\times \frac{\sqrt{589}}{2\sqrt{33}}$$
Rationalize the denominator of $\frac{\sqrt{589}}{2\sqrt{33}}$ by multiplying numerator and denominator by $\sqrt{33}$.
