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Prove that √3 is an irrational number. (Hint: Follow the method that we have used to prove √2 ∉ Q.)

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Prove that √3 is an irrational number. (Hint: Follow the method that we have used to prove √2 ∉ Q.)

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Suppose that √3 is rational P

Then 

⇒ 3 is a factor of q also 

so 3 is a factor of p and q which is a contradiction. 

⇒ √3 is not a rational number 

⇒ √3 is an irrational number

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