Question

Are rational and irrational numbers real numbers?

Answer 1

Real numbers:

Real numbers are numbers which include both rational and irrational numbers and Real numbers are often explained to be all the numbers on a number line.

Rational Number:

The number that can be written in the form of $\frac{p}{q}$, where $q\ne 0$

For example: $\frac{1}{2},\frac{5}{4},\text{and}\frac{12}{6}$

Irrational number:

The number which cannot be written in the form of $\frac{p}{q}$.

For example, irrational numbers are non-terminating and non-repeating in nature like $\sqrt{2},\sqrt{5},\text{and}\sqrt{13}$.

Therefore, rational and irrational numbers are real numbers.