Solve sqrt{5^2-14^2}

$$\sqrt { 5 ^ { 2 } - 14 ^ { 2 } }$$

Evaluate (complex solution)

$$3\sqrt{19}i\approx 13.076696831i$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\sqrt{25-14^{2}}$$

Calculate 14 to the power of 2 and get 196.

$$\sqrt{25-196}$$

Subtract 196 from 25 to get -171.

$$\sqrt{-171}$$

Factor -171=\left(3i\right)^{2}\times 19. Rewrite the square root of the product \sqrt{\left(3i\right)^{2}\times 19} as the product of square roots \sqrt{\left(3i\right)^{2}}\sqrt{19}. Take the square root of \left(3i\right)^{2}.

$$3i\sqrt{19}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$