Solve sqrt{98/228^2-164^2}

$$\sqrt { \frac { 98 } { 228 ^ { 2 } - 164 ^ { 2 } } }$$

Evaluate

$$\frac{1}{16}=0.0625$$

Solution Steps

Calculate 228 to the power of 2 and get 51984.

$$\sqrt{\frac{98}{51984-164^{2}}}$$

Calculate 164 to the power of 2 and get 26896.

$$\sqrt{\frac{98}{51984-26896}}$$

Subtract 26896 from 51984 to get 25088.

$$\sqrt{\frac{98}{25088}}$$

Reduce the fraction \frac{98}{25088} to lowest terms by extracting and canceling out 98.

$$\sqrt{\frac{1}{256}}$$

Rewrite the square root of the division \frac{1}{256} as the division of square roots \frac{\sqrt{1}}{\sqrt{256}}. Take the square root of both numerator and denominator.

$$\frac{1}{16}$$

Factor

$$\frac{1}{2 ^ {4}} = 0.0625$$