Answer:
Step-by-step explanation:
Square (-4), obtaining 16. Next, square [-sqrt(2)]i, obtaining 2.
Applying the Pythagorean Theorem, we get:
16 + 2 = 18, so that the absolute value of -4 - sqrt(2)i is sqrt 18, or 3sqrt(2).
The absolute value of the complex number -4 - sqrt 2i is sqrt(18).
"The absolute value of a number refers to the distance of a number from the origin of a number line. It is represented as |a|, which defines the magnitude of any integer ‘a’. The absolute value of any integer, whether positive or negative, will be the real numbers, regardless of which sign it has."
Here,
The given complex number is -4 - sqrt 2i.
The absolute value of a complex number is [tex]\sqrt(a^2 + b^2)[/tex]
Here a = -4, b = sqrt(2)
So, absolute value of the complex number is [tex]\sqrt(16 + 2) = \sqrt 18[/tex]
Hence, the absolute value is sqrt(18).
To know more about absolute value here
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