There is no representation for Irrational Numbers: they are represented as real numbers that are not rational. The set of real numbers is R and set of rational numbers is Q so that the set of irrational numbers is the complement if Q in R.
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PI is a number that is commonly used to help understand circles in algebra. We all know how it starts out. 3.14.... It is a real and irrational number. Pi is not only irrational. It's much worse. It is trancendental, meaning it is not a root of any polynomial with intefer coefficients. Trancendental numbers are important in algebra, but Pi is studied more in Analysis and Calculus
Not completely to its end. If you can completely write a number with digits, then it's a rational number.
The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.
5.39 is the ratio of 539 to 100 ... completely rational.Any number that you can completely write down with digits is rational.
The sum of a rational and irrational number must be an irrational number.