SOLUTION: Find the absolute value of the complex number: √(11) + i√(5) If you could explain how to do it that would be great!! Thanks!!

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Find the absolute value of the complex number: √(11) + i√(5) If you could explain how to do it that would be great!! Thanks!!      Log On


   



Question 821507: Find the absolute value of the complex number:
√(11) + i√(5)
If you could explain how to do it that would be great!!
Thanks!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the absolute value of the complex number:
√(11) + i√(5)
If you could explain how to do it that would be great!!
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That means::
1st: Plot the point (sqrt(11) , sqrt(5)) on a RealNumber/Imaginary coordinate
system.
2nd: Then find the distance from (0,0) to (sqrt(11) , sqrt(5)).
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Use Pythagoras::
|sqrt(11)+isqrt(5)| = sqrt[[sqrt(11)]^2 + [sqrt(5)]^2] = sqrt[11+5] = 4
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Cheers,
Stan H.
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