# It's a Plastic

Algebra Level 5

The real number answer to the equation $$x^3 = x+1$$ is $x = \sqrt[3]{\frac{1}{2}+\sqrt{\frac{j}{k}}}+\sqrt[3]{\frac{1}{2}-\sqrt{\frac{j}{k}}}$ for positive integer $$j, k$$ being relative prime. Find $$\sqrt{16+jk}$$

×