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PROVE THAT 5-√3 IS IRRARTIONAL?

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Question :

Prove that 5 - root 3 is IRRATIONAL

Answer :

Let us assume the given number be rational and we will WRITE the given number in p/q form

⇒5−root 3=qp

⇒root 3 = q5q−p

We observe that LHS is irrational and RHS is rational, which is not possible. 

This is CONTRADICTION. 

Hence our assumption that given number is rational is false 

⇒5−root 3  is irrational

__________Be Delighted____________


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