Rational number:

Rational numbers are the numbers that can be expressed in the form of a ratio \(\displaystyle{\left(\frac{{P}}{{Q}}{\quad\text{and}\quad}{Q}\ne{0}\right)}\)

and also if decimal number represents the number after the decimal is repeating, then it is a rational number.

Irrational numbers:

It is impossible to express irrational numbers as fractions or in a ratio of two integers, irrational numbers have endless non-repeating digits after the decimal point.

\(\displaystyle-\frac{{3}}{{4}}\) It is a rational number.

\(\displaystyle\sqrt{{9}}={3}\) It is a rational number.

\(\displaystyle\frac{{3}}{\sqrt{{3}}}=\sqrt{{3}}\) It can not be simplified more, so, it is a irrational number.

\(\displaystyle\sqrt{{\frac{{25}}{{5}}}}=\sqrt{{5}}\) It can not be simplified more, so, it is a irrational number.

\(\displaystyle{20}=\frac{{20}}{{1}}\) it is a rational number.

PSK1.11222 it is a rational number because 2 is repeating here.

PSK5.5015132 it is non-recurring and non-terminating. So, it is a irrational number.

\(\displaystyle\frac{{626}}{{262}}\) it is a rational number.

Rational numbers are the numbers that can be expressed in the form of a ratio \(\displaystyle{\left(\frac{{P}}{{Q}}{\quad\text{and}\quad}{Q}\ne{0}\right)}\)

and also if decimal number represents the number after the decimal is repeating, then it is a rational number.

Irrational numbers:

It is impossible to express irrational numbers as fractions or in a ratio of two integers, irrational numbers have endless non-repeating digits after the decimal point.

\(\displaystyle-\frac{{3}}{{4}}\) It is a rational number.

\(\displaystyle\sqrt{{9}}={3}\) It is a rational number.

\(\displaystyle\frac{{3}}{\sqrt{{3}}}=\sqrt{{3}}\) It can not be simplified more, so, it is a irrational number.

\(\displaystyle\sqrt{{\frac{{25}}{{5}}}}=\sqrt{{5}}\) It can not be simplified more, so, it is a irrational number.

\(\displaystyle{20}=\frac{{20}}{{1}}\) it is a rational number.

PSK1.11222 it is a rational number because 2 is repeating here.

PSK5.5015132 it is non-recurring and non-terminating. So, it is a irrational number.

\(\displaystyle\frac{{626}}{{262}}\) it is a rational number.