TR-MO-R1 2022 Problem 7

$1 \leq a, b \leq 2022$ ve $\sqrt{a - \sqrt{a+b}} = b$ koşullarını sağlayan kaç $(a, b)$ tam sayı ikilisi vardır?

a) 1 b) 2 c) 21 d) 36 e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2022 official paper, page 5. Quoted with source.

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