Question

`(2 + sqrt(2))` is ______.

Options

• an integer

• a rational number

• an irrational number

• none of these

Answer 1

`(2 + sqrt(2))` is an irrational number.

Explanation:

The sum of a rational and an irrational is irrational.

Here, 2 is rational and `sqrt(2)` is irrational.

∴ `(2 + sqrt(2))` is irrational.