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.