Question 37
Prove that for each integer number $n$, $n \ge 3$, the following $2n$-digit number
$$
\underbrace{1\dots12}_{n-1} \underbrace{8\dots8}_{n-2} 96
$$
is a perfect square.
$$
\underbrace{1\dots12}_{n-1} \underbrace{8\dots8}_{n-2} 96
$$
is a perfect square.