Solve 4-frac{sqrt{5}}{2}

$$4 - \frac { \sqrt { 5 } } { 2 }$$

Evaluate

$$-\frac{\sqrt{5}}{2}+4\approx 2.881966011$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{2}{2}.

$$\frac{4\times 2}{2}-\frac{\sqrt{5}}{2}$$

Since \frac{4\times 2}{2} and \frac{\sqrt{5}}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4\times 2-\sqrt{5}}{2}$$

Do the multiplications in 4\times 2-\sqrt{5}.

$$\frac{8-\sqrt{5}}{2}$$

Factor

$$\frac{8 - \sqrt{5}}{2} = 2.881966011250105$$