Solve (2500m^2/s^2)(frac{sqrt{2}}{2})

$$( 2500 \frac { m ^ { 2 } } { s ^ { 2 } } ) ( \frac { \sqrt { 2 } } { 2 } )$$

Evaluate

$$1250\sqrt{2}\times \left(\frac{m}{s}\right)^{2}$$

Short Solution Steps

Express 2500\times \frac{m^{2}}{s^{2}} as a single fraction.

$$\frac{2500m^{2}}{s^{2}}\times \frac{\sqrt{2}}{2}$$

Multiply \frac{2500m^{2}}{s^{2}} times \frac{\sqrt{2}}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2500m^{2}\sqrt{2}}{s^{2}\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1250\sqrt{2}m^{2}}{s^{2}}$$

Differentiate w.r.t. m

$$\frac{2500\sqrt{2}m}{s^{2}}$$