Question

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Answer 1

Answer:
sqrt(14)

Explanation:
The absolute value of a complex number a+bi can be calculated as follows:
|a+bi| = sqrt(a^2 + b^2)
we have:
a = -4
b = -sqrt(2) i

Substitute with the values in the above equation to get the absolute value as follows:
|a+bi| = sqrt [(-4)^2 + (sqrt(2) i)^2] = sqrt(14)