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?
Can you show me how to do that?
Sure. If 253*Sqrt(2) +874*Sqrt(3) +582*Sqrt(5) < 3173, then we can square both sides of the inequality to get [253*Sqrt(2) +874*Sqrt(3) +582*Sqrt(5)]^2 < 3173^2.