Solve sqrt{400/321}

$$\sqrt{ \frac{ 400 }{ 321 } }$$

Evaluate

$$\frac{20\sqrt{321}}{321}\approx 1.116291144$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{400}{321}} as the division of square roots \frac{\sqrt{400}}{\sqrt{321}}.

$$\frac{\sqrt{400}}{\sqrt{321}}$$

Calculate the square root of 400 and get 20.

$$\frac{20}{\sqrt{321}}$$

Rationalize the denominator of \frac{20}{\sqrt{321}} by multiplying numerator and denominator by \sqrt{321}.

$$\frac{20\sqrt{321}}{\left(\sqrt{321}\right)^{2}}$$

The square of \sqrt{321} is 321.

$$\frac{20\sqrt{321}}{321}$$