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State true or false.

216 is not a perfect cube.

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True

False

answer is B.

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Detailed Solution

Given a statement as, 216 is not a perfect cube.
Applying prime factorization:
Question Image

Prime factorization of 216 is:

2 × 2 × 2 ¯ × 3 × 3 × 3 ¯

Checking if each number has occurred in triplets:
In the above factorization, 2 and 3 are formed in triplets.
So, 216 is a perfect cube, thus, the given statement is false.
Therefore, option 2 is correct.

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