Perform arithmetic operations with complex numbers.
The Complex Number System
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Know there is a complex number 𝑖 such that 𝑖² = -1, and every complex number has the form 𝑎 + 𝑏𝑖 with 𝑎 and 𝑏 real.
Use the relation 𝑖² = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.