Question

what is the cube root of 729?

Explanation:

Step1: Recall cube - root definition

The cube root of a number $x$ is a number $y$ such that $y^3=x$. We need to find $y$ where $y^3 = 729$.

Step2: Factorize 729

We know that $729=9\times9\times9$. So, $\sqrt[3]{729}=\sqrt[3]{9^3}$.

Step3: Simplify the cube - root

By the property $\sqrt[3]{a^3}=a$, when $a = 9$, we have $\sqrt[3]{729}=9$.

Answer:

9