Question

What is the magnitude of the following complex number: (11+67i)/(1+3i)

Answer 1

\[\left| \frac {11+67i}{1+3i} \right|=\left| \frac {11+67i}{1+3i}\frac{1-3i}{1-3i} \right|=\left| \frac{(11+201)+(67-33)i}{10} \right|\]\[=\left|\frac{106+17i}{5} \right|=\sqrt{\frac{106^2+17^2}{25}} approx 4.29 \]

Answer 2

I hate calculators... real answer is approx 21.5

Answer 3

yeah thats the one, Thanks!

Answer 4

No sweat. Do math every day.