Q: if{-3/4, sqrt3, 3/sqrt3, sqrt(25/5), 20, 1.11222, 2.5015132,..., 626/262}, find the following 1) Rational numbers? 2) Irrational numbers?

Rational number:
Rational numbers are the numbers that can be expressed in the form of a ratio ${\displaystyle (\frac{P}{Q}\text{and}Q\ne 0)}$
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.
$1.11222$ it is a rational number because 2 is repeating here.
$5.5015132$ it is non-recurring and non-terminating. So, it is a irrational number.
${\displaystyle \frac{626}{262}}$ it is a rational number.