# Sam's Mistake

Algebra Level 4

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 $\sqrt{a^2 + b^2} = \sqrt{a^2} + \sqrt{b^2}?$

×