Azhaghu always compares

Algebra Level 2

\[A=\sqrt{65}-8, \quad B=\sqrt{50}-7 \]

Azhaghu was once learning square roots as he liked to compare radical expressions. He worked day and night on his new topic and found the two expressions above.

After working hard, reading Naruto and eating chips, Azhaghu figured out correctly which of \(A\) and \(B\) is bigger. So which is indeed bigger?

Bonus: Generalize this.


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