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Show that  is irrational.

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

Let us assume that is a rational i.e.

Or,  here  and 3 both are rational and we know that the difference of two rational is always rational.

this is a contradiction to our assumption.

hence, is not rational, i.e. it is an irrational number

Answered by Expert 4th June 2014, 3:23 PM
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