Question 1151806: find absolute value of each complex number
2+4i=
/4+16
/20= 2/5
my question is how it became from square root of/20 to 2/5?
Found 3 solutions by MathLover1, MathTherapy, ikleyn:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! find absolute value of each complex number=> I see one,
2+4i=
/4+16.....??????????????
/20= 2/5??????????????-> did you try to solve this
The absolute value of a real number like  is its distance from  on the number line.
The absolute value of complex number is also a measure of its distance from zero. However, instead of measuring this distance on the number line, a complex number's absolute value is measured on the complex number plane.
given: 
If you think of the 'length' of  as the  from the  to the point ( , ) then all you need is Pythagoras' Theorem;
in your example , where  , ,you need the distance from (,) to ( , ) which is :
so, absolute value of is  => your answer
Answer by MathTherapy(10552)  (Show Source):
Answer by ikleyn(52787)  (Show Source):
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