Solve frac{-6-sqrt{6^2-36}}{2}

$$\frac{ -6- \sqrt{ { 6 }^{ 2 } -36 } }{ 2 }$$

Evaluate

$$-3$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\frac{-6-\sqrt{36-36}}{2}$$

Subtract 36 from 36 to get 0.

$$\frac{-6-\sqrt{0}}{2}$$

Calculate the square root of 0 and get 0.

$$\frac{-6-0}{2}$$

Multiply -1 and 0 to get 0.

$$\frac{-6+0}{2}$$

Add -6 and 0 to get -6.

$$\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$-3$$

Factor

$$-3$$