Addition under which any pair \((a, b)\) of irrational numbers is made to correspond to an irrational number \((a + b)\) called the sum of a and b.
Because an irrational number is expressed by an unlimited, non-repeating decimal sequence, we cannot express the sum of two irrational numbers in the form of a repeating decimal sequence.
Examples
\(7+8\sqrt{5}-2\sqrt{5} -4=3+6\sqrt{5}\)
\(5+11\pi -3 +7\pi = (5-3)+(11\pi + 7\pi) = 2 +18\pi\)