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    How Do You Prove a < sqrt(ab) < (a+b)/2 < b?

    Homework Statement 0 < a < b Must prove that a < sqrt(ab) < (a+b)/2 < b Homework Equations Well, relevant info. I am using Spivak's calculus book, where we have to prove everything. The Attempt at a Solution I'm not sure if I'm doing this right but here's my start. I'll...
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