Azhaghu always compares

Algebra Level 2

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

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

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

Bonus: Generalize this.


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