Question

plzz help me
solve this answer step by step

Answer 1

Its 53
then it will be 2197
which is a perfect cube of 13
i.e. 13×13×13=2197
and 2250-53 =2197

Answer 2

Prime factorization of 2250 = 2 * 3 * 3 * 5 * 5 * 5.

The number 2 and 3 must be multiplied twice and once so that the product is a prefect cube.

So, the smallest number by which 2250 must be multiplied

= > 2 * 2 * 3

= > 12.

So, the required product = 2250 * 12

= > 27000

= > 2 * 2 * 2 * 3 * 3 * 3 * 5 * 5 * 5

= > (2 * 3 * 5)^3.

Which is a prefect cube.

Therefore, the smallest number is 12.

Hope this helps!