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Ahh please help me with this question!!!!

Ahh please help me with this question!!!!-example-1

1 Answer

2 votes

Answer: B. 2∛3

Explanation:


24^(1)/(3) 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.

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