3+2root5 is irrational

1.	3+2root5 is irrational
Answer» 26361 Yes it is irrational Let 3+2√5 be rational3+2√5 is a rational, 3 is a rational[(3+2√5)-3] is rational [ difference of rational is rational]2√5 is rational1/2 *2√5 [product of rational is rational]√5 is rationalThis contradicts the fact that √5 is irrational.The contradiction arises by assuming that 3+2√5 is rationalHence, 3+2√5 is irrational

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