prove that7+3√2 is not a rational number

1.	prove that7+3√2 is not a rational number
Answer» Let 7+3√2 is arational number where 7+3√2=p/q and p and q are coprime numbers. 7+3√2=p/q. 3√2=p/q-7. √2=p-7q/3q. It shows that √2 is rational but we know that √2 is irrational.Hence our assumption is wrong by contradiction.

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