Rational numbers are real numbers which can be expressed as a ration of two integers, with the denominator being not zero.
Rational number = n = p / q, p and q are integers, q ≠ 0.
examples are: 1, -1, -999999999.888232989 , 1/3, - 0.987 / 0.56534, 87.67 / 98723, -7/2,
Rational number divided by or multiplied by a rational number is also a rational number. All integers are also rational numbers. Rational numbers can be added, subtracted, multiplied and divided - to get a rational number.
Irrational number is a real number which cannot be expressed as a ratio of two integers. Some of these are square roots of integers which are not perfect squares or cubes.
examples are: ∛5 , ∛100, √2, - √11
Irrational numbers cannot be simplified by addition. √2+√5 cannot be simplified further.
We can have a lower bound and upper bound for the value of a rational number. If you have
a √2 + b√5 = -3 √2 + 5 √5, then a = -3 and b = 5