Solve sqrt{-121^2-4*2*5}

$$\sqrt{ - { 121 }^{ 2 } -4 \times 2 \times 5 }$$

Evaluate (complex solution)

$$\sqrt{14681}i\approx 121.165176515i$$

Solution Steps

Calculate 121 to the power of 2 and get 14641.

$$\sqrt{-14641-4\times 2\times 5}$$

Multiply 4 and 2 to get 8.

$$\sqrt{-14641-8\times 5}$$

Multiply 8 and 5 to get 40.

$$\sqrt{-14641-40}$$

Subtract 40 from -14641 to get -14681.

$$\sqrt{-14681}$$

Factor -14681=14681\left(-1\right). Rewrite the square root of the product \sqrt{14681\left(-1\right)} as the product of square roots \sqrt{14681}\sqrt{-1}. By definition, the square root of -1 is i.

$$\sqrt{14681}i$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Calculate 121 to the power of 2 and get 14641.

$$\sqrt{-14641-4\times 2\times 5}$$

Multiply 4 and 2 to get 8.

$$\sqrt{-14641-8\times 5}$$

Multiply 8 and 5 to get 40.

$$\sqrt{-14641-40}$$

Subtract 40 from -14641 to get -14681.

$$\sqrt{-14681}$$

Real Part (complex solution)

$$0$$