Question
Sat July 09, 2011 By:

# prove than 1/undreroot2 is a irrational number

Mon July 11, 2011
Firstly,please recall the defination of an irrational number: they are the numbers which are not rationals,i.e they cannot be written in the form p/q,where p,q are integers and importantly q?0.

Also,we now the decimal expansion of ?2 = 1.414213562373....and so on,which is non-terminating and non-recurring.Moreover,since the decimal representation is non terminating and non-recurring,it follows that ?2 is an irrational number.

Thus 1/?2 = 0.7071067811865950...and so on,which is again non terminating and non recurring decimal expansion,which makes 1/?2 an irrational number.
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Wed May 10, 2017

# i wanted to ask that rational numbers are in the form of p/q where q is not equal to zero. but we can write (root 2)/1. in this root 2 is p and 1 is q. q is not equal to zero. so<, it should be a rational number but always read in maths textbooks and vedio lessons of topperlearning that root 2 is irrational. why?

Sun April 23, 2017

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