Solve frac{2(sqrt{4*152^2})}{64.5(9+21)}

$$\frac { 2 ( \sqrt { 4 \times 152 ^ { 2 } } ) } { 64.5 ( 9 + 21 ) }$$

Evaluate

$$\frac{608}{1935}\approx 0.314211886$$

Solution Steps

Calculate 152 to the power of 2 and get 23104.

$$\frac{2\sqrt{4\times 23104}}{64.5\left(9+21\right)}$$

Multiply 4 and 23104 to get 92416.

$$\frac{2\sqrt{92416}}{64.5\left(9+21\right)}$$

Calculate the square root of 92416 and get 304.

$$\frac{2\times 304}{64.5\left(9+21\right)}$$

Multiply 2 and 304 to get 608.

$$\frac{608}{64.5\left(9+21\right)}$$

Add 9 and 21 to get 30.

$$\frac{608}{64.5\times 30}$$

Multiply 64.5 and 30 to get 1935.

$$\frac{608}{1935}$$

Factor

$$\frac{19 \cdot 2 ^ {5}}{5 \cdot 43 \cdot 3 ^ {2}} = 0.31421188630490954$$