Prove that a.p. is greater than g.p of two numbers. If they are greater than 0
Pranay , 7 Years ago
Grade 10
2 Answers
Shailendra Kumar Sharma
Last Activity: 7 Years ago
Assume a, and b AM-GM will be
(a+b)/2-
/2 which is always greater than or equal to zero thus AM is always more than gm
Namit Vijaivergia
Last Activity: 7 Years ago
Let a, b be two numbers greater than 0. And a>ba-b>0Squaring both sides(a-b)^2>0Adding 4ab to both sides (a+b)^2>2abSquare rooting both sides(a+b)÷2>(ab)^.5A.M>G.m
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