Solve sigma=sqrt{2442/5}(20)^2

$$\sigma = \sqrt { \frac { 2442 } { 5 } } ( 20 ) ^ { 2 }$$

Solve for σ

$$\sigma =80\sqrt{12210}\approx 8839.909501799$$

Steps for Solving Linear Equation

Rewrite the square root of the division \sqrt{\frac{2442}{5}} as the division of square roots \frac{\sqrt{2442}}{\sqrt{5}}.

$$\sigma =\frac{\sqrt{2442}}{\sqrt{5}}\times 20^{2}$$

Rationalize the denominator of \frac{\sqrt{2442}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$\sigma =\frac{\sqrt{2442}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}\times 20^{2}$$

The square of \sqrt{5} is 5.

$$\sigma =\frac{\sqrt{2442}\sqrt{5}}{5}\times 20^{2}$$

To multiply \sqrt{2442} and \sqrt{5}, multiply the numbers under the square root.

$$\sigma =\frac{\sqrt{12210}}{5}\times 20^{2}$$

Calculate 20 to the power of 2 and get 400.

$$\sigma =\frac{\sqrt{12210}}{5}\times 400$$

Cancel out 5, the greatest common factor in 400 and 5.

$$\sigma =80\sqrt{12210}$$

Assign σ

$$\sigma ≔80\sqrt{12210}$$