MedVision ad

ineq q (1 Viewer)

wizzkids

Well-Known Member
Joined
Jul 13, 2016
Messages
332
Gender
Undisclosed
HSC
1998
I remember a classic geometric proof of this inequality. I like this proof because it is easy to grasp, and elegant. As a couple of others have said, it is closely related to the arithmetic mean/geometric mean inequality.
I also offer a second, more conventional, algebraic proof that relies on the property of square numbers.
See the attached image files.
 

Attachments

Last edited:

Life'sHard

Well-Known Member
Joined
May 24, 2021
Messages
1,101
Gender
Male
HSC
2021
Uni Grad
2025
I remember a classic geometric proof of this inequality. I like this proof because it is easy to grasp, and elegant. As a couple of others have said, it is closely related to the arithmetic mean/geometric mean inequality. See the attached image file.
Damn that is so clean.
 

chilli 412

oo la la
Joined
Apr 13, 2022
Messages
250
Gender
Male
HSC
2023
I remember a classic geometric proof of this inequality. I like this proof because it is easy to grasp, and elegant. As a couple of others have said, it is closely related to the arithmetic mean/geometric mean inequality. See the attached image file.
that was very elegant and easy to understand
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top