0

Guest

Courses New

Prove that a.p. is greater than g.p of two numbers. If they are greater than 0

Prove that a.p. is greater than g.p of two numbers. If they are greater than 0

Grade:10

2 Answers

Shailendra Kumar Sharma
188 Points
6 years ago
Assume a, and b
AM-GM will be
(a+b)/2-\sqrt{ab} 
(a+b-2\sqrt{ab})/2
(\sqrt{a } -\sqrt{b})^{2}/2  which is always greater than or equal to zero thus AM is always more than gm
Namit Vijaivergia
11 Points
6 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

Think You Can Provide A Better Answer ?

Other Related Questions on 10 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More