Solve 3/4+frac{sqrt{7}}{2}=

$$\frac { 3 } { 4 } + \frac { \sqrt { 7 } } { 2 } =$$

Evaluate

$$\frac{\sqrt{7}}{2}+\frac{3}{4}\approx 2.072875656$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 2 is 4. Multiply \frac{\sqrt{7}}{2} times \frac{2}{2}.

$$\frac{3}{4}+\frac{2\sqrt{7}}{4}$$

Since \frac{3}{4} and \frac{2\sqrt{7}}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+2\sqrt{7}}{4}$$

Factor

$$\frac{2 \sqrt{7} + 3}{4} = 2.0728756555322954$$