Question 1151806
find absolute value of each complex number=> I see one,{{{ 2+4i}}}

2+4i=
/4+16.....??????????????
/20= 2/5??????????????-> did you try to solve this


The absolute value of a real number like {{{abs(4)}}} is its distance from {{{0}}} 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: {{{2+4i}}}

If you think of the 'length' of {{{a + bi }}}as the {{{distance}}} from the {{{origin}}} to the point ({{{a}}},{{{b}}}) then all you need is Pythagoras' Theorem; 
in your example {{{2+4i}}}, where {{{a=2}}},{{{b=4}}},you need the distance from ({{{0}}},{{{0}}}) to ({{{2}}},{{{4}}}) which is :

{{{d=(x[2]-x[1])^2+ (y[2]-y[1])^2}}}

{{{d=sqrt((2-0)^2+(4-0)^2)}}}

{{{d=sqrt(2^2+4^2)}}}

{{{d=sqrt(4+16)}}}

{{{d=sqrt(20)}}}

{{{d=sqrt(4*5)}}}

{{{d=2sqrt(5)}}}

so, absolute value of {{{2+4i}}} is {{{2sqrt(5)}}}=> your answer