How do you simplify #abs(2+3i)#?

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Answer 1 · 2018-05-07T14:02:17

#" "#
#color(red)(|2+3i|=sqrt(13)#

#" "#
Given: #color(blue)(|2+3i|#

#color(brown)(|a+bi|=sqrt(a^2+b^2)#

So,

#|2+3i| =sqrt(2^2+3^2#

#rArr sqrt(4+9)#

#rArr sqrt(13)#

Hence,

#color(blue)(|2+3i|=sqrt(13)#