Leroro123 Leroro123

20-05-2018
Mathematics

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If z =[tex] \sqrt{2} [/tex] - 2i, then |z| = _____.

[tex] \sqrt{3} [/tex]
[tex] \sqrt{6} [/tex]
3
6

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altavistard altavistard

20-05-2018

This requires an approach much like the distance formula.

The abs. val. of z here is a positive quantity equal to:

|z| = sqrt( [sqrt(2)]^2 + [2]^2 ) = sqrt ( 2 + 4 ) = sqrt^6).

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