Question

is 2744 perfect cube give reasons

Answer 1

. 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

Answer 2

Answer:

2744=$14^{3}$.

Step-by-step explanation:

Given: a number 2744.

To determine if it is a perfect cube.

For a number to be a perfect cube there must be groups of three same integers.

So, in order to find if the given number is a perfect cube or not we do prime factorization i.e; factorize the given number in terms of prime factors.

2744 = 2 × 2 × 2 × 7 × 7 × 7

        = (2 × 2 × 2) × (7 × 7 × 7).

Therefore, ∛2744 = (2 × 7)

                             = 14

Hence, 2744 perfect cube as 2744=$14^{3}$.

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