Question

show that (4+2√3) is not a rational no.

Answer 1

suppose 4+2√3 is a rational no.
So we can write it in the form of p/q
4+2√3 = p/q
2√3 = p/q - 4
2√3 = p-4q/q
√3 = 2p-4q/q
We know that √3 is an irrational
So the given number is irrational