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## Answers

Solution:

By prime factorization, we have

2744 = 2 × 2 × 2 × 7 × 7 × 7

= (2 × 2 × 2) × (7 × 7 × 7).

Therefore, ∛2744 = (2 × 7) = 14

2744=2×1372

2744=2×2×686

2744=2×2×2×343

2744=2×2×2×7×49

2744=2×2×2×7×7×7

Prime Factors are 2 and 7.

⇒2×7=14.

Check:-

14×14×14=2744.

**Ans=Yes. 2744 is a perfect cube. It is the cube of 14.**