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Question
Find the modulus of the following complex numbers
`(2 - "i")/(1 + "i") + (1 - 2"i")/(1 - "i")`
Solution
Let z = `(2 - "i")/(1 + "i") + (1 - 2"i")/(1 - "i")`
= `((2 - "i")(1 - "i") + (1 - 2"i")(1 + "i"))/((1 + "i")(1 - "i"))`
= `(4 - 4"i")/2`
= 2 – 2i
Modulus of z = |z|
= `sqrt(4 + 4)`
= `sqrt(8)`
= `2sqrt(2)`
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