Solve sqrt{12^2-4*71}

$$\sqrt{ { 12 }^{ 2 } -4 \times 71 }$$

Evaluate (complex solution)

$$2\sqrt{35}i\approx 11.832159566i$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$\sqrt{144-4\times 71}$$

Multiply 4 and 71 to get 284.

$$\sqrt{144-284}$$

Subtract 284 from 144 to get -140.

$$\sqrt{-140}$$

Factor -140=\left(2i\right)^{2}\times 35. Rewrite the square root of the product \sqrt{\left(2i\right)^{2}\times 35} as the product of square roots \sqrt{\left(2i\right)^{2}}\sqrt{35}. Take the square root of \left(2i\right)^{2}.

$$2i\sqrt{35}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$