Solve sqrt{1/5}*sqrt{45/49}

$$\sqrt { \frac { 1 } { 5 } } \times \sqrt { \frac { 45 } { 49 } }$$

Evaluate

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

Solution Steps

To multiply \sqrt{\frac{1}{5}} and \sqrt{\frac{45}{49}}, multiply the numbers under the square root.

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

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

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