The value of the expression w - z for the given complex number will be -2√3 + 0i thus option (C) will be correct.
What is a complex number?
Complex numbers are helpful in finding the square root of negative numbers.
A complex number is the sum of a real number and an imaginary number.
If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).
As per the given complex numbers,
w = 2(cos(210°) + isin(210°))
w = 2(-√3/2 + i(-1/2)]
w = -√3 - i
z = 2[cos(330°) + isin(330°)]
z = 2[√3/2 + i(-1/2)
z = √3 - i
Now, w - z will be as,
w - z = (-√3 - i) - (√3 - i)
w - z = -√3 - √3 - i + i
w - z = -2√3 + 0 i
Hence "The value of the expression w - z for the given complex number will be -2√3 + 0i".
learn more about of complex numbers, here
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