We have |56 +2i| = |16(5 +12i)| = 16|5+12i| = 165^2 +12^2 = 136.

jmc

algebra junior

Problem

Evaluate

\frac{5}{6} + 2 i

Solution

We have

\frac{5}{6} + 2 i = \frac{1}{6} (5 + 12 i) = \frac{1}{6} ∣5 + 12 i ∣ = \frac{1}{6} 5^{2} + 1 2^{2} = \frac{13}{6} .

Final answer

\frac{13}{6}