Question 4
Let $a,b,c$ be integers, each between $1$ and $2021$ inclusive, satisfying
$$
\sqrt a+\sqrt b=\sqrt{a+c\sqrt b}.
$$
How many distinct values of $c$ are possible?
$$
\sqrt a+\sqrt b=\sqrt{a+c\sqrt b}.
$$
How many distinct values of $c$ are possible?