Question

Can there be a perfect square whose digits consist of exactly 4 ones, 4 twos and 4 zeroes
in any order?​

Answer 1

Answer:

No , there cannot be a perfect square

Step-by-step explanation:

The number is divisible by 3.

1+1+1+1+2+2+2+2+0+0+0+0=12

12 is a multiple of 3 . Hence it is divisible by 3.

For it to be a perfect square it should be divisible by 3^2 at least.

As we can see 12 is not divisible by 9.

Hence , number cannot be a perfect square.