How do you find #abs( 2 + 8i )#? Precalculus Complex Numbers in Trigonometric Form Complex Number Plane 1 Answer Alan P. Apr 9, 2016 #abs(2+8i) = 2sqrt(17)# Explanation: In general #abs(a+bi) = sqrt(a^2+b^2)# So #color(white)("XXX")abs(2+8i) = sqrt(2^2+8^2) = sqrt(68)=2sqrt(17)# Answer link Related questions What is the complex number plane? Which vectors define the complex number plane? What is the modulus of a complex number? How do I graph the complex number #3+4i# in the complex plane? How do I graph the complex number #2-3i# in the complex plane? How do I graph the complex number #-4+2i# in the complex plane? How do I graph the number 3 in the complex number plane? How do I graph the number #4i# in the complex number plane? How do I use graphing in the complex plane to add #2+4i# and #5+3i#? How do I use graphing in the complex plane to subtract #3+4i# from #-2+2i#? See all questions in Complex Number Plane Impact of this question 1584 views around the world You can reuse this answer Creative Commons License