H is a number system where (a,b) belongs in H where a and b is an element of Z(integer)
Addition and multiplication are defined as follows:
(a, b) + (c, d) := (a + c , b + d)
(a, b) x (c, d) := (ac-5bd , ad+bc)
For any number (a,b) in H, we can define its norm by
||(a, b)|| :=...