Math, asked by suraj4750, 5 months ago

please help by solving this ​

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Answered by acharyasubham85
1

Answer:

hii , it's simple....the answer is 2

by using prime factorization method

8788 = 2 × 2 × 13 × 13 × 13

and to get perfect cube , it's prime number should be from triplet , so that's why 2 is the smallest number to obtain a perfect cube

Answered by Talentedgirl1
1

Answer:

2

Explanation:

Prime factorising 8788, we get,

8788= 2×2×2×13×13×13

 =  {2}^{2}  \times  {13}^{2}

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, number of 2's is 2 and number of 13's is 3.

So we need to multiply another 2 to the factorization to make 8788 a perfect cube.

Hence, the smallest number by which 8788 must be multiplied to obtain a perfect cube is 2.

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