Question

prove that above is an irrational number​

Answer 1

Answer:

Let us assume that √3/5 is rational.

That is, we can find coprime a and b ( b not equal to zero) such that 1/√2 = a/b

1/√2 = a/b

√2 = a/b×1

Since a and b are integers, we get a/b×1 is rational, and so √2 is irrational.

This contradiction has arisen because of our incorrect assumption that 1/√2 is rational.

So, we conclude that 1/√2 is irrational.

Hence proved.