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98 Exploring Math
%:_1
0j1
]a=:i.6
0 1 2 3 4 5
%:a
0 1 1.41421 1.73205 2 2.23607
%:-a
0 0j1 0j1.41421 0j1.73205 0j2 0j2.23607
Taken together with the rationals, these imaginary square roots of negative
numbers form the class of complex numbers, closed under square root as well as
under addition, subtraction, multiplication, and division.
Exercises
7. Read Section 9F (Real and Complex Numbers) of Book 2.
8. Read Chapter 7 (Permutations) of Book 2.
9. Read Chapter 8 (Classification and Sets) of Book 2.