Question

What is the answer to this question?

Answer 1

Lets start by factoring the 216 into its smaller parts.
$\sqrt[3]{2 * 2 * 2 * 3 * 3 * 3}$
From here, we can separate the three 2s and the three 3s into two separate radicals.
$\sqrt[3]{2*2*2} * \sqrt[3]{3*3*3}$
Since we have three copies of the same number in each, the answer to the cube root is the number we have the copies of.
$\sqrt[3]{2*2*2} * \sqrt[3]{3*3*3} = 2 * 3$
Finally, we just need to multiply out what remains to find the solution.
$2*3 = 6$
So, the final answer is 6.