Math, asked by musko23, 11 months ago

prove that underroot n., n being not a perfect square, is not a rational no ​

Answers

Answered by rajaku592001
1

Answer:

Step-by-step explanation: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.

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