Solve sqrt{3+3/4}=

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

Evaluate

$$\frac{\sqrt{15}}{2}\approx 1.936491673$$

Solution Steps

Convert 3 to fraction \frac{12}{4}.

$$\sqrt{\frac{12}{4}+\frac{3}{4}}$$

Since \frac{12}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\sqrt{\frac{12+3}{4}}$$

Add 12 and 3 to get 15.

$$\sqrt{\frac{15}{4}}$$

Rewrite the square root of the division \sqrt{\frac{15}{4}} as the division of square roots \frac{\sqrt{15}}{\sqrt{4}}.

$$\frac{\sqrt{15}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$\frac{\sqrt{15}}{2}$$