Solve 18765-frac{-sqrt{8077}-3}{2}

$$18765 - \frac { - \sqrt { 8077 } - 3 } { 2 }$$

Evaluate

$$\frac{\sqrt{8077}+37533}{2}\approx 18811.436065693$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 18765 times \frac{2}{2}.

$$\frac{18765\times 2}{2}-\frac{-\sqrt{8077}-3}{2}$$

Since \frac{18765\times 2}{2} and \frac{-\sqrt{8077}-3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18765\times 2-\left(-\sqrt{8077}-3\right)}{2}$$

Do the multiplications in 18765\times 2-\left(-\sqrt{8077}-3\right).

$$\frac{37530+\sqrt{8077}+3}{2}$$

Do the calculations in 37530+\sqrt{8077}+3.

$$\frac{37533+\sqrt{8077}}{2}$$

Factor

$$\frac{\sqrt{8077} + 37533}{2} = 18811.436065693382$$