Question

Prove that
that I/√2is irrational​

Answer 1

Answer:

Let l / √2 be rational, so, it can be expressed as p/q where, p and q are co prime numbers.

l / √2 = p/q

or, √2 = p / l × q

Since, l , p and q are rational so √2 is rational.

This contradict the fact that √2 ia irrational.

So, l / √2 is irrational.