Solve sqrt{11^2-13^2}

$$\sqrt { 11 ^ { 2 } - 13 ^ { 2 } }$$

Evaluate (complex solution)

$$4\sqrt{3}i\approx 6.92820323i$$

Solution Steps

Calculate 11 to the power of 2 and get 121.

$$\sqrt{121-13^{2}}$$

Calculate 13 to the power of 2 and get 169.

$$\sqrt{121-169}$$

Subtract 169 from 121 to get -48.

$$\sqrt{-48}$$

Factor -48=\left(4i\right)^{2}\times 3. Rewrite the square root of the product \sqrt{\left(4i\right)^{2}\times 3} as the product of square roots \sqrt{\left(4i\right)^{2}}\sqrt{3}. Take the square root of \left(4i\right)^{2}.

$$4i\sqrt{3}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$