Solve frac{sqrt{left(9-16*8-35right)^2}}{314*98}

$$\frac{ \sqrt{ { \left(9-16 \times 8-35 \right) }^{ 2 } } }{ 314 \times 98 }$$

Evaluate

$$\frac{11}{2198}\approx 0.00500455$$

Solution Steps

Multiply 16 and 8 to get 128.

$$\frac{\sqrt{\left(9-128-35\right)^{2}}}{314\times 98}$$

Subtract 128 from 9 to get -119.

$$\frac{\sqrt{\left(-119-35\right)^{2}}}{314\times 98}$$

Subtract 35 from -119 to get -154.

$$\frac{\sqrt{\left(-154\right)^{2}}}{314\times 98}$$

Calculate -154 to the power of 2 and get 23716.

$$\frac{\sqrt{23716}}{314\times 98}$$

Calculate the square root of 23716 and get 154.

$$\frac{154}{314\times 98}$$

Multiply 314 and 98 to get 30772.

$$\frac{154}{30772}$$

Reduce the fraction \frac{154}{30772} to lowest terms by extracting and canceling out 14.

$$\frac{11}{2198}$$

Factor

$$\frac{11}{2 \cdot 7 \cdot 157} = 0.005004549590536852$$