Solve sqrt{289}-(10-19):(0-8)

$$\sqrt { 289 } - ( 10 - 19 ) : ( 0 - 8 )$$

Evaluate

$$\frac{127}{8}=15.875$$

Solution Steps

Calculate the square root of 289 and get 17.

$$17-\frac{10-19}{0-8}$$

Subtract 19 from 10 to get -9.

$$17-\frac{-9}{0-8}$$

Subtract 8 from 0 to get -8.

$$17-\frac{-9}{-8}$$

Fraction \frac{-9}{-8} can be simplified to \frac{9}{8} by removing the negative sign from both the numerator and the denominator.

$$17-\frac{9}{8}$$

Convert 17 to fraction \frac{136}{8}.

$$\frac{136}{8}-\frac{9}{8}$$

Since \frac{136}{8} and \frac{9}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-9}{8}$$

Subtract 9 from 136 to get 127.

$$\frac{127}{8}$$

Factor

$$\frac{127}{2 ^ {3}} = 15\frac{7}{8} = 15.875$$