Prove that 11+ 2√3 is irrational with full explanation

1.	Prove that 11+ 2√3 is irrational with full explanation
Answer» $\Large \fbox \red {Question \: :}$ Prove that 11 + 2√3 is IRRATIONAL. $\Large \fbox \red {Answer \: :}$ We know that, We cannot CONVERT √3 in the form p/q. So, 2√3 is irrational. And, we also know that, RATIONAL + Irrational = Irrational $\implies$ So, we can say that 11+ 2√3 is irrational. $\therefore$ $\large \purple {Hence, \: PROVED!!}$ ____________________ $\Large \mathcal \pink {HOPE \: IT \: HELPS}$ ❤️ $\huge \green {Brainliest \: please}$ ✌️

Answer»

$\Large \fbox \red {Question \: :}$