Question
Sat July 09, 2011 By:

prove than 1/undreroot2 is a irrational number

Expert Reply
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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