Solve sqrt{3/5}*sqrt{5/12}

$$\sqrt { \frac { 3 } { 5 } } \times \sqrt { \frac { 5 } { 12 } }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

To multiply \sqrt{\frac{3}{5}} and \sqrt{\frac{5}{12}}, multiply the numbers under the square root.

$$\sqrt{\frac{1}{4}}$$

Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$