Answers

2015-09-09T20:11:24+05:30
. Evaluate the cube root: ∛2744

Solution: 

By prime factorization, we have













2744 = 2 × 2 × 2 × 7 × 7 × 7

= (2 × 2 × 2) × (7 × 7 × 7). 

Therefore, ∛2744 = (2 × 7) = 14
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2015-09-10T20:30:17+05:30
Yes. Prime Factorize 2744
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.
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