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To prove that 3+root2 is an irrational number
lets take the opposite i.e 3+root2 is a rational number
hence 3+root2 can be written in the form a/b
hence 3+root2 = a/b
root2 = 1/3 x a/b
root2 = a/3b
here a/3b is rational and root2 is irrational
as irrational cannot be equal to rational
3+root2 is irrational
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