Prove that 3-2√7 is irrational number

1.	Prove that 3-2√7 is irrational number
Answer» Let if possible 3-2√7 is rationalThese exists two co prime integers p and q such that 3-2√7= p/q2√7=p/q+32√7= p-3q/q√7=p-3q/2q√7=integer/integerWhich will result in rational no.√7 is rationalBut√7 is irrational which is contradiction So,our assumption is wrong Hence 3-2√7 is irrational

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