Question

prove that √5 is irrational​

Answer 1

Let us assume that √5 is a rational number.
we know that the rational numbers are in the form of p/q form where p,q are intezers.
so, √5 = p/q
     p = √5q
we know that 'p' is a rational number.
so √5 q must be rational since it equals to p
but it doesnt occurs with √5 since its not an integer

therefore, p =/= √5q

this contradicts the fact that √5 is a rational number

hence our assumption is wrong and √5 is an irrational number.



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