MATHEMATICS IS MY PASSION ......!!!!1Guys , u all might be having trouble in doing some filthy calculations in those booring questions
of mathematics which are related to the pure mathematics like real analysis ...
One of such question is like finding an irrational number between two rational numbers . This question seems to be a question of a baby sitter untill the values are fixed , what !! if
I ask u to give me a general formulae of finding an irrational number . if u want to know the difficulty
of the question then try it first .. don't see the solution !!
( if you are going to see the solution , u must read it ...in matematics
after watching out the solution , things seems to be obvious ... !!!!
second thing is that beauty of mathematics lies in it's simplicitiy !!! )
.
.
.
.
.
.
.
.
.
.
.
ashwini-iitian :
let us assume two rational numbers be A and B , if B>A
then there exist an irrational number A+(B-A)/Pi in between those two numbers !!!
proof :
A+(B-A)/Pi < B ........... (1)
A+(B-A)/Pi < A.............(2)
and it is an irrational number as sum of ratioanl and irrationl number is irrational !
hence , theorem is correct
proved
contact me on fb :http://www.facebook.com/?sk=welcome#!/profile.php?id=100003342097474
ashwini black coat
from (jwahar navodaya vidyalaya hazaribagh )
