Solve sqrt{81}-sqrt{025}+sqrt{9/4}

$$\sqrt { 81 } - \sqrt { 025 } + \sqrt { \frac { 9 } { 4 } }$$

Evaluate

$$\frac{21}{2}=10.5$$

Solution Steps

Calculate the square root of 81 and get 9.

$$9-\sqrt{0\times 25}+\sqrt{\frac{9}{4}}$$

Multiply 0 and 25 to get 0.

$$9-\sqrt{0}+\sqrt{\frac{9}{4}}$$

Calculate the square root of 0 and get 0.

$$9-0+\sqrt{\frac{9}{4}}$$

Multiply -1 and 0 to get 0.

$$9+0+\sqrt{\frac{9}{4}}$$

Add 9 and 0 to get 9.

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

Rewrite the square root of the division \frac{9}{4} as the division of square roots \frac{\sqrt{9}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$9+\frac{3}{2}$$

Convert 9 to fraction \frac{18}{2}.

$$\frac{18}{2}+\frac{3}{2}$$

Since \frac{18}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{18+3}{2}$$

Add 18 and 3 to get 21.

$$\frac{21}{2}$$

Factor

$$\frac{3 \cdot 7}{2} = 10\frac{1}{2} = 10.5$$