Solve sqrt{-6^2-4(2)(-8)}

$$\sqrt{ - { 6 }^{ 2 } -4(2)(-8) }$$

Evaluate

$$2\sqrt{7}\approx 5.291502622$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\sqrt{-36-4\times 2\left(-8\right)}$$

Multiply 4 and 2 to get 8.

$$\sqrt{-36-8\left(-8\right)}$$

Multiply 8 and -8 to get -64.

$$\sqrt{-36-\left(-64\right)}$$

The opposite of -64 is 64.

$$\sqrt{-36+64}$$

Add -36 and 64 to get 28.

$$\sqrt{28}$$

Factor 28=2^{2}\times 7. Rewrite the square root of the product \sqrt{2^{2}\times 7} as the product of square roots \sqrt{2^{2}}\sqrt{7}. Take the square root of 2^{2}.

$$2\sqrt{7}$$