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25-08-2018
Mathematics

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what is the absolute value of (3+4i) (3-4i)

Respuesta :

25-08-2018

First simplify. Use (a + b)(a - b) = a² - b²:

[tex](3+4i)(3-4i)=3^2-(4i)^2=9-4^2i^2=9-16(-1)=9+16=25[/tex]

Absolute value:

[tex]|(3+4i)(3-4i)|=|25|=25[/tex]

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