The required a + bi form of the given expression is 4 or 4 + 0i
What is complex numbers?
Any number which is written in the form a + bi where i is called iota and the value of i is square root of -1, is called complex numbers
- In the number a + bi , real part is a and imaginary part is b
- Complex numbers have no comparison
- Any real number can be written in the form a + 0i
How to calculate complex numbers?
Here we have given expression is
z = [tex](\sqrt{3} +i)(\sqrt{3}-i)[/tex]
using the fact we have (a + b).(a - b) = [tex]a^{2}-b^2[/tex]
z = [tex](\sqrt{3} )^2-(i^2)[/tex]
z = 3 - (-1)
z = 4
or z = 4 + 0i
Hence the correct option is (d)
This is the conclusion to the answer.
Learn more about complex numbers here-
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