check weather 392 id perfect cube or not
Answers
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Answer:
Not because there no triplet in 7
Step-by-step explanation:
392 = 2×2×2×7×7.
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Find Cube root of 392 using prime factorization method
Solution:
First find factors of 392
2 392
2 196
2 98
7 49
7 7
1
392=2×2×2×7×7
392=2³⋅7²
Taking cuberoot
∴∛
392
=∛2³⋅7²
=2×∛7²
=2∛49
=7.32
∴ 392 is not a perfect cube
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