Solve sqrt{3/4+9}

$$\sqrt { \frac { 3 } { 4 } + 9 }$$

Evaluate

$$\frac{\sqrt{39}}{2}\approx 3.122498999$$

Solution Steps

Convert 9 to fraction \frac{36}{4}.

$$\sqrt{\frac{3}{4}+\frac{36}{4}}$$

Since \frac{3}{4} and \frac{36}{4} have the same denominator, add them by adding their numerators.

$$\sqrt{\frac{3+36}{4}}$$

Add 3 and 36 to get 39.

$$\sqrt{\frac{39}{4}}$$

Rewrite the square root of the division \sqrt{\frac{39}{4}} as the division of square roots \frac{\sqrt{39}}{\sqrt{4}}.

$$\frac{\sqrt{39}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$\frac{\sqrt{39}}{2}$$