Answer: B. 2∛3
Step-by-step explanation:
[tex]24^\frac{1}{3}[/tex] is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.
24
/ \
2 12
/ \
2 6
/ \
2 3
From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.
We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).
Our final answer is 2∛3.
