Question

prove that 1/root2 is an irrational​

Answer 1

Answer:

let us assume the contrary that 1/root 2 is irrational.

• That is we find co-prime a and b ( not equal to 0).such that 1/root 2 = a/b
• therefore root 2 = b/a
• since we find a and b as integer b/a is rational ,so root 2 is rational .
• but the contradicts that fact that root 2 is irrational .this contradicts has arrisen because of our incorrect assumption that 1/root 2 is rational .
• so we conclude that 1/root 2 is irrational.

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