Solve sqrt{0.28(1-0.28)/56}

$$\sqrt { \frac { 0.28 ( 1 - 0.28 ) } { 56 } }$$

Evaluate

$$0.06$$

Solution Steps

Subtract 0.28 from 1 to get 0.72.

$$\sqrt{\frac{0.28\times 0.72}{56}}$$

Multiply 0.28 and 0.72 to get 0.2016.

$$\sqrt{\frac{0.2016}{56}}$$

Expand \frac{0.2016}{56} by multiplying both numerator and the denominator by 10000.

$$\sqrt{\frac{2016}{560000}}$$

Reduce the fraction \frac{2016}{560000} to lowest terms by extracting and canceling out 224.

$$\sqrt{\frac{9}{2500}}$$

Rewrite the square root of the division \frac{9}{2500} as the division of square roots \frac{\sqrt{9}}{\sqrt{2500}}. Take the square root of both numerator and denominator.

$$\frac{3}{50}$$

Factor

$$\frac{3}{2 \cdot 5 ^ {2}} = 0.06$$