Question

The addition of a rational number with an irrational number will result in which type of number?

• A. Rational number.
• B. Irrational number.
• C. Real number.

Answer 1

Answer: (B), (C)

Real number.

The addition of a rational number with an irrational number will result in a non-terminating and non-repeating number.

Let's take an example.

$\frac{1}{2}+\sqrt{3}$
$=0.5+\mathrm{1.732...}$
$=\mathrm{2.232...}$
This is a non-terminating and non-repeating number, i.e., an irrational number.
Also, an irrational number is a real number.