Solve sqrt{24^2-32^2}

$$\sqrt{ { 24 }^{ 2 } - { 32 }^{ 2 } }$$

Evaluate (complex solution)

$$8\sqrt{7}i\approx 21.166010489i$$

Solution Steps

Calculate 24 to the power of 2 and get 576.

$$\sqrt{576-32^{2}}$$

Calculate 32 to the power of 2 and get 1024.

$$\sqrt{576-1024}$$

Subtract 1024 from 576 to get -448.

$$\sqrt{-448}$$

Factor -448=\left(8i\right)^{2}\times 7. Rewrite the square root of the product \sqrt{\left(8i\right)^{2}\times 7} as the product of square roots \sqrt{\left(8i\right)^{2}}\sqrt{7}. Take the square root of \left(8i\right)^{2}.

$$8i\sqrt{7}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$