Question

prove that 3 minus\sqrt{2} ...{ 3-\sqrt{2} } is irrational....

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Answer 1

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

hoped it helped you

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Answer 2

here it can't we proven it is good question