how to proove root 2 is irrational

Asked by  | 26th Feb, 2008, 12:10: PM

Expert Answer:

Let us find the square root of 2 by long division methods as shown below :

                                              

                       \                      = 1.414215 .....

                       Clearly, the decimal representation of  is neither terminating nor

                       repeating. Hence, it is not a rational number. Hence proved.

Answered by  | 26th Feb, 2008, 05:33: PM

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