# Isn't 100000 such a huge number?

Find the sum of all the values of $$x$$ which satisfy the equation

$\sqrt{x+\sqrt{100000}}=\sqrt{a}+\sqrt{b}$ where $$x, a,$$ and $$b$$ are positive integers.

For a related problem, see Isn't 100000 such a huge number (part 2)?

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