What Is The Difference Between Rational And Irrational Numbers

Rational numbers can be written in the fractional form but irrational numbers can never be expressed as a fraction.

The key difference between rational and irrational numbers is the rational number is expressed in the form of p q whereas it is not possible for irrational number though both are real numbers. Rational numbers are those numbers that are integers and can be expressed in the form of x y where both numerator and denominator are integers whereas irrational numbers are those numbers which cannot be expressed in a fraction. Upon decimal expansion irrational numbers give infinite and non recurring values whereas the rational numbers have recurring and finite values. The basic difference between rational numbers and irrational numbers includes perfect squares of rational numbers in contrast to surd values of irrational numbers.