Solve frac{36+sqrt{36^2+4*44*45}}{88}

$$\frac { 36 + \sqrt { 36 ^ { 2 } + 4 \cdot 44 \cdot 45 } } { 88 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Calculate 36 to the power of 2 and get 1296.

$$\frac{36+\sqrt{1296+4\times 44\times 45}}{88}$$

Multiply 4 and 44 to get 176.

$$\frac{36+\sqrt{1296+176\times 45}}{88}$$

Multiply 176 and 45 to get 7920.

$$\frac{36+\sqrt{1296+7920}}{88}$$

Add 1296 and 7920 to get 9216.

$$\frac{36+\sqrt{9216}}{88}$$

Calculate the square root of 9216 and get 96.

$$\frac{36+96}{88}$$

Add 36 and 96 to get 132.

$$\frac{132}{88}$$

Reduce the fraction \frac{132}{88} to lowest terms by extracting and canceling out 44.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$