Question

prove that 7 + 2√3 is also an irrational number

Answer 1

take example from this

Answer 2

suppose. 7+2√3 I'd rational.
So,. it can be written in the form of p/q
7+2√3 = p/q
2√3 = p/q-7
2√3 = p-7q/q
√3 = 2p-7q/q
We know that √3 is irrational.So, 2p-7q/q is also irrational.
7+2√3 is irrational