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