Solve sqrt{2549/6}

$$\sqrt{ \frac{ 2549 }{ 6 } }$$

Evaluate

$$\frac{\sqrt{15294}}{6}\approx 20.611485471$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{2549}{6}} as the division of square roots \frac{\sqrt{2549}}{\sqrt{6}}.

$$\frac{\sqrt{2549}}{\sqrt{6}}$$

Rationalize the denominator of \frac{\sqrt{2549}}{\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.

$$\frac{\sqrt{2549}\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

The square of \sqrt{6} is 6.

$$\frac{\sqrt{2549}\sqrt{6}}{6}$$

To multiply \sqrt{2549} and \sqrt{6}, multiply the numbers under the square root.

$$\frac{\sqrt{15294}}{6}$$