3 +2√7 i irrational by contradictory method

1.	3 +2√7 i irrational by contradictory method
Answer» Let us assume that 3 + 2√7 is rational3+2√7=a/b2√7=a/b-3√7=a-3b/2bSince a and b are integers where b is not equal to 0Therefore a-3b/2b is rationalSo,√7 is also rationalBut this contradicts the fact ghat √7 is irrational.Hence, 3+2√7 is irrational. Proved

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