Answer:
Step-by-step explanation:
Let the number is in the form of aabb.
We can put it as:
- aabb = 11*(100a + b) = 11*(99a + a + b)
The number is a perfect square so it must be divisible by 11.
It is divisible by 11 if (a + b) is divisible by 11..
On the other hand, b = 0, 1, 4, 5, 6, 9 as the last digit of a perfect square.
Also, both a and b must be within (0,9) interval.
Considering the above conditions we have options:
- a,b = 2,9 or 5,6 or 6,5 or 7,4
The numbers are:
By testing we confirm only one of them is a perfect square:
