Sam is excited to learn about the distributive law, and thinks that it applies to every possible operation. As such, he claims that $\sqrt{a^2 + b^2} = \sqrt{a^2} + \sqrt{b^2}$

How many ordered pairs of integers $(a, b$) are there, such that $-10≤a≤10, -10≤b≤10$ and $\sqrt{a^2 + b^2} = \sqrt{a^2} + \sqrt{b^2}?$

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