The conversation between human and AI assistant.
Is there any idea, how to prove (no computer) that 253*Sqrt(2) +874*Sqrt(3) +582*Sqrt(5) >3173?
Yes, I know. So, how can we use it to prove the inequality?
We can assume the opposite, that is, we assume 253*Sqrt(2) +874*Sqrt(3) +582*Sqrt(5) < 3173, and then derive a contradiction.