Solve -6+-sqrt{36-20/2}

$$-6+- \sqrt{ \frac{ 36-20 }{ 2 } }$$

Evaluate

$$-2\sqrt{2}-6\approx -8.828427125$$

Solution Steps

Subtract 20 from 36 to get 16.

$$-6-\sqrt{\frac{16}{2}}$$

Divide 16 by 2 to get 8.

$$-6-\sqrt{8}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

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