Question

what is the snallest natural number by which 36 should be multiplied so that it becomes perfect cube​

Answer 1

Answer:

6 is the smallest number by which 36 is multiplied so that becomes perfect cube

Answer 2

Answer:

Prime factorising 36, we get,

36=2×2×3×3=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 3's is 2.

So we need to multiply another 2 and 3 in the factorization to make 36 a perfect cube.

Hence, the smallest number by which 36 must be multiplied to obtain a perfect cube is 2×3=6.