How do you find abs( -18/7 + sqrt5/7 i )∣∣∣−187+√57i∣∣∣?

1 Answer
Trevor Ryan.
Mar 26, 2016

|-18/7+sqrt5/7i|=sqrt(324/49+5/49)=sqrt(47/7)∣∣∣−187+√57i∣∣∣=√32449+549=√477

Explanation:

For general complex number z=x+iyz=x+iy in rectangular form, the modulus is given by |z|=sqrt(x^2+y^2)|z|=√x2+y2.

So in this particular case we get

|-18/7+sqrt5/7i|=sqrt(324/49+5/49)=sqrt(47/7)∣∣∣−187+√57i∣∣∣=√32449+549=√477

Related questions
See all questions in Complex Number Plane
Impact of this question
1548 views around the world
You can reuse this answer
Creative Commons License