The Root of Root Conjecture


Created on January 23, 2021 4:51 PM PT when mathboy282 discovered a pattern in a MSM post.

The Conjecture

If it exists an expression that $\sqrt{a + 2 \sqrt{b}}$ for $a \geq 0$ and $b \geq 0$, then the solution must be such that, for some numbers $x$ and $y$, $x+y=a$ and $xy=b.$

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