Solve sqrt{4*9/8*32}

$$\sqrt { \frac { 4 \times 9 } { 8 \times 32 } }$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\sqrt{\frac{9}{2\times 32}}$$

Multiply 2 and 32 to get 64.

$$\sqrt{\frac{9}{64}}$$

Rewrite the square root of the division \frac{9}{64} as the division of square roots \frac{\sqrt{9}}{\sqrt{64}}. Take the square root of both numerator and denominator.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$