Solve frac{32+sqrt{32^2-12*45}}{6}

$$\frac { 32 + \sqrt { 32 ^ { 2 } - 12 \times 45 } } { 6 }$$

Evaluate

$$9$$

Solution Steps

Calculate 32 to the power of 2 and get 1024.

$$\frac{32+\sqrt{1024-12\times 45}}{6}$$

Multiply 12 and 45 to get 540.

$$\frac{32+\sqrt{1024-540}}{6}$$

Subtract 540 from 1024 to get 484.

$$\frac{32+\sqrt{484}}{6}$$

Calculate the square root of 484 and get 22.

$$\frac{32+22}{6}$$

Add 32 and 22 to get 54.

$$\frac{54}{6}$$

Divide 54 by 6 to get 9.

$$9$$

Factor

$$3^{2}$$