Prove AM:GM Inequality: Best Methods

  • Context: Undergrad 
  • Thread starter Thread starter VertexOperator
  • Start date Start date
  • Tags Tags
    Inequality
VertexOperator
Messages
79
Reaction score
0
What is the best way to prove it?
 
Mathematics news on Phys.org
Start with (a+b)2 - (a-b)2 = 4ab
 

Similar threads

Undergrad What Are the Benefits of Triangle Inequality in Mathematics?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Proof of Inequality: $|a+b| \leq |a| + |b|$
  • · Replies 8 ·
Replies
8
Views
2K
High School Problem with simple inequality
  • · Replies 13 ·
Replies
13
Views
2K
High School What Are Basic Questions About Understanding Inequalities?
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad How to start with proving ##a^a + b^b > a^b + b^a##?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Prove the inequality (a^3-c^3)/3≥abc((a-b)/c+(b-c)/a)
  • · Replies 3 ·
Replies
3
Views
2K
MHB Is There an Easier Method to Prove $n^2>n$ for Negative Integers?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Can You Prove This Inequality Challenge?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Overcoming Struggles to Addressing Inequalities Step by Step
  • · Replies 3 ·
Replies
3
Views
1K
MHB Proving Inequality for Variables with Constraints
  • · Replies 4 ·
Replies
4
Views
2K