A perfect square
Number Theory
Level
pending
Let A=abcd. abcd represents a 4-digit perfect square such that a=b and c=d. Determind A.
The answer is 7744.
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1 solution
A = aabb the number is divisible by 11 and 121
aabb = 121 × square number 121 × (4² on wards give 4 digit number by trial and error)
121 × 8² = 7744