Question

is 3456a perfect cube . give reason​

Answer 1

Answer:

No it's not a perfect square

Answer 2

Answer:

Prime factorization of 3456 = 2*2*2*2*2*2* 2*3*3

= 2^7 * 3^3.

The number 2 should be multiplied twice so that the product is a perfect cube.

Therefore the smallest number by which 3456 must be multiplied =

2*2 = 4.

3456 * 4 = 13824

= 24 * 24 * 24.

So it's not a perfect cube.