Prove that square root of 'n' is not a rational number if 'n' is not a perfect square.
Asked by
| 19th Apr, 2011,
11:56: PM
Expert Answer:
If n is not a perfect square then
is irrational
Let on the contrary say it is rational .
Then
where p and q are coprime integers.
so n =p2/q2
p2 =nq2
This shows p divides q
which is a contradiction.
Hence
is irrational if n is not a perfect square.



Answered by
| 20th Apr, 2011,
11:13: AM
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