Solve sqrt{0.25*0.36/0.49}

$$\sqrt { \frac { 0.25 \times 0.36 } { 0.49 } }$$

Evaluate

$$\frac{3}{7}\approx 0.428571429$$

Solution Steps

Multiply 0.25 and 0.36 to get 0.09.

$$\sqrt{\frac{0.09}{0.49}}$$

Expand \frac{0.09}{0.49} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{9}{49}}$$

Rewrite the square root of the division \frac{9}{49} as the division of square roots \frac{\sqrt{9}}{\sqrt{49}}. Take the square root of both numerator and denominator.

$$\frac{3}{7}$$

Factor

$$\frac{3}{7} = 0.42857142857142855$$