Solve 3/5sqrt{7/3}*2/7sqrt{3/28}

$$\frac { 3 } { 5 } \sqrt { \frac { 7 } { 3 } } \cdot \frac { 2 } { 7 } \sqrt { \frac { 3 } { 28 } }$$

Evaluate

$$\frac{3}{35}\approx 0.085714286$$

Solution Steps

To multiply \sqrt{\frac{7}{3}} and \sqrt{\frac{3}{28}}, multiply the numbers under the square root.

$$\frac{3}{5}\sqrt{\frac{1}{4}}\times \frac{2}{7}$$

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.

$$\frac{3}{5}\times \frac{1}{2}\times \frac{2}{7}$$

Multiply \frac{3}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{5\times 2}\times \frac{2}{7}$$

Do the multiplications in the fraction \frac{3\times 1}{5\times 2}.

$$\frac{3}{10}\times \frac{2}{7}$$

Multiply \frac{3}{10} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{10\times 7}$$

Do the multiplications in the fraction \frac{3\times 2}{10\times 7}.

$$\frac{6}{70}$$

Reduce the fraction \frac{6}{70} to lowest terms by extracting and canceling out 2.

$$\frac{3}{35}$$

Factor

$$\frac{3}{5 \cdot 7} = 0.08571428571428572$$