5 + /3 is irrational

Asked by priya009 | 19th Feb, 2009, 05:38: PM

Expert Answer:

Let a=/3

Let it be rational number.

Hence a=m/n , both m ad n are coprime.

We have a2 =3=m2/n2

Hence m2 and n2 are not coprime.

This is a contradiction. Hence a is irrational.

Hence 5+/3 is irrational.

Answered by  | 20th Feb, 2009, 12:57: AM

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