Prove that


$(2+\sqrt{2})$ is

(a) an integer
(b) a rational number
(c) an irrational number
(d) none of these



(c) an irrational number

$2+\sqrt{2}$ is an irrational number.

if it is rational, then the difference of two rational is rational

$\therefore(2+\sqrt{2})-2=\sqrt{2}=$ irrational


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