Prove that `5-sqrt(3)` is an irrational number.

Explanation

Let us assume that `5- sqrt3 `is a rational
We can find co prime a & b `( b ne 0)` such that
`5 - sqrt3= (a)/(b)`
Therefore `5- (a)/(b) = sqrt3`
So we get `(5b-a)/(b) = sqrt3`
Since a & b are integers, we get `(5b-a)/(b)` is rational, and so `sqrt3` is rationa. But `sqrt3` is an irrational number
Which contradicts our statement
`therefore 5 - sqrt3` is irrational