Solve -4/4+sqrt{35/4}

$$- \frac { 4 } { 4 } + \sqrt { \frac { 35 } { 4 } }$$

Evaluate

$$\frac{\sqrt{35}}{2}-1\approx 1.958039892$$

Solution Steps

Divide 4 by 4 to get 1.

$$-1+\sqrt{\frac{35}{4}}$$

Rewrite the square root of the division \sqrt{\frac{35}{4}} as the division of square roots \frac{\sqrt{35}}{\sqrt{4}}.

$$-1+\frac{\sqrt{35}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$-1+\frac{\sqrt{35}}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -1 times \frac{2}{2}.

$$-\frac{2}{2}+\frac{\sqrt{35}}{2}$$

Since -\frac{2}{2} and \frac{\sqrt{35}}{2} have the same denominator, add them by adding their numerators.

$$\frac{-2+\sqrt{35}}{2}$$