prove that

is irrational
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Step-by-step explanation:
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 coprime numbers.
so,√5=p/q
p= √(5)q
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)q since its not an integer
therefore, p is not equal to √(5)q
this contradicts the fact that √(5) is an irrational number
hence our assumption is wrong and √(5) is an irrational number
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