Question

prove that root 2 +3/root 2 is an irrational number

Answer 1

I... hope it helps....

Answer 2

5/root 2 came when we solve it after that we assume it rational

Now,

5/root 2 = a/b

Or, 5b-a/b = root 2

A and B are integers that's why LHS IS rational

Therfore root 2 is also rational but it is a contradiction

So we conclude that above equation is irrational

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