Question

$\left(2+\sqrt{2}\right)$ is
(a) an integer
(b) a rational number
(c) an irrational number
(d) none of these

Answer 1

(c) an irrational number

$2+\sqrt{2}$ is an irrational number.
if it is rational, then the difference of two rational is rational
∴​ $(2+\sqrt{2})-2$ = $\sqrt{2}$ = irrational