Solve frac{(sqrt{5929}-sqrt{529})}{(sqrt{5929}+sqrt{529})}

$$\frac { ( \sqrt { 5929 } - \sqrt { 529 } ) } { ( \sqrt { 5929 } + \sqrt { 529 } ) }$$

Evaluate

$$\frac{27}{50}=0.54$$

Solution Steps

Calculate the square root of 5929 and get 77.

$$\frac{77-\sqrt{529}}{\sqrt{5929}+\sqrt{529}}$$

Calculate the square root of 529 and get 23.

$$\frac{77-23}{\sqrt{5929}+\sqrt{529}}$$

Subtract 23 from 77 to get 54.

$$\frac{54}{\sqrt{5929}+\sqrt{529}}$$

Calculate the square root of 5929 and get 77.

$$\frac{54}{77+\sqrt{529}}$$

Calculate the square root of 529 and get 23.

$$\frac{54}{77+23}$$

Add 77 and 23 to get 100.

$$\frac{54}{100}$$

Reduce the fraction \frac{54}{100} to lowest terms by extracting and canceling out 2.

$$\frac{27}{50}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 5 ^ {2}} = 0.54$$