Question

simplify:
3i/2+5i

Answer 1

\[\frac{ 3i}{ 2+5i }\]

Answer 2

Multiply both numerator and denominator by the conjugate of denominator

Answer 3

\[\frac{ 3i (2-5i) }{ 2+5i(2-5i) }\] kind of like that right? Just not all over the fraction bar if you know what i mean...

Answer 4

Yes, if you mean :

\(\dfrac{ 3i (2-5i) }{ (2+5i)(2-5i) }\)

Answer 5

you're multiplying them right?

Answer 6

right

Answer 7

for denominator you may use the identity: \((a+bi)(a-bi)=a^2+b^2\)

Answer 8

ok, i understand how to get the top part. you multiply 3i and 2 to get 6i, and 3i and 5i to get 15, and because of the i on both, im pretty sure that it ccancels out. the bottom is where i always get lost

Answer 9

oh i see thank you