Solve sqrt{4/3}*sqrt{27/64}

$$\sqrt{ \frac{ 4 }{ 3 } } \times \sqrt{ \frac{ 27 }{ 64 } }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

To multiply \sqrt{\frac{4}{3}} and \sqrt{\frac{27}{64}}, multiply the numbers under the square root.

$$\sqrt{\frac{9}{16}}$$

Rewrite the square root of the division \frac{9}{16} as the division of square roots \frac{\sqrt{9}}{\sqrt{16}}. Take the square root of both numerator and denominator.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$