Show that $4^\frac{1}{3}$ is an algebraic number?

Question

How do you show that $4^\frac{1}{3}$ is an algebraic number?

I don't understand the question nor how to begin on describing the proof to show what the question is asking.

Answer 1

Is it a solution to $x^{3}-4=0$. A number is said to be algebraic over $\mathbf{Q}$ if it satisfies a polynomial in one variable over $\mathbf{Q}$, equivalently over $\mathbf{Z}$, by multiplying everything by the lcm of the denominators.