Solve frac{9+sqrt{(9)^2-4*2*9}}{2*2}

$$\frac { 9 + \sqrt { ( 9 ) ^ { 2 } - 4 \cdot 2 \cdot 9 } } { 2 \cdot 2 }$$

Evaluate

$$3$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$\frac{9+\sqrt{81-4\times 2\times 9}}{2\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{9+\sqrt{81-8\times 9}}{2\times 2}$$

Multiply 8 and 9 to get 72.

$$\frac{9+\sqrt{81-72}}{2\times 2}$$

Subtract 72 from 81 to get 9.

$$\frac{9+\sqrt{9}}{2\times 2}$$

Calculate the square root of 9 and get 3.

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

Add 9 and 3 to get 12.

$$\frac{12}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$3$$

Factor

$$3$$