Solve sqrt{704div5555}

$$\sqrt{ 704 \div 5555 }$$

Evaluate

$$\frac{8\sqrt{505}}{505}\approx 0.355995328$$

Solution Steps

Reduce the fraction \frac{704}{5555} to lowest terms by extracting and canceling out 11.

$$\sqrt{\frac{64}{505}}$$

Rewrite the square root of the division \sqrt{\frac{64}{505}} as the division of square roots \frac{\sqrt{64}}{\sqrt{505}}.

$$\frac{\sqrt{64}}{\sqrt{505}}$$

Calculate the square root of 64 and get 8.

$$\frac{8}{\sqrt{505}}$$

Rationalize the denominator of \frac{8}{\sqrt{505}} by multiplying numerator and denominator by \sqrt{505}.

$$\frac{8\sqrt{505}}{\left(\sqrt{505}\right)^{2}}$$

The square of \sqrt{505} is 505.

$$\frac{8\sqrt{505}}{505}$$