(2+2 ) is: - Vidyadip

MCQ

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

A
An integer.
B
A rational number.
✓
An irrational number.
D
None of these.

✓

Answer

Correct option: C.

An irrational number.

An irrational number is a number that is non-terminating and non-repeating.
Now, 2 is a rational number and $\sqrt2$ is an irrational number.
Sum of a rational number and an irrational number is irrational.
Hence, $\big(2+\sqrt{2}\big)$ is an irrational number.

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