Expand $\frac{17.56}{28.95}$ by multiplying both numerator and the denominator by $100$.
$$\sqrt{\frac{1756}{2895}}$$
Rewrite the square root of the division $\sqrt{\frac{1756}{2895}}$ as the division of square roots $\frac{\sqrt{1756}}{\sqrt{2895}}$.
$$\frac{\sqrt{1756}}{\sqrt{2895}}$$
Factor $1756=2^{2}\times 439$. Rewrite the square root of the product $\sqrt{2^{2}\times 439}$ as the product of square roots $\sqrt{2^{2}}\sqrt{439}$. Take the square root of $2^{2}$.
$$\frac{2\sqrt{439}}{\sqrt{2895}}$$
Rationalize the denominator of $\frac{2\sqrt{439}}{\sqrt{2895}}$ by multiplying numerator and denominator by $\sqrt{2895}$.
