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  • ?Prove that 3squre root 2 is irrational .

?Prove that 3squre root 2 is irrational .

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Solution: Let us assume , to the contrary ,that3sqrt2 is rational . Then there exist co-prime positive integers a and b such that

     \3sqrt2=a/b\ \Rightarrow sqrt2=a/3b

sqrt2 is rational

This contradicts the fact that sqrt2 is irrational .So our assumption is not correct .

Hence ,3sqrt2 is an irrational number

Posted by

Deependra Verma

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