Question

Rationalize the denominator of

Answer 1

\[\sqrt{-36} \over (2-3i) + (3 +2i)\]

Answer 2

first,to simplify,combine like terms in denominator
(2-3i)+(3+2i)=2+3+2i-3i=5-i
got this?

Answer 3

I Got That

Answer 4

now complex conjugate of 5-i is 5+i
to rationalize the denom,you multiply by complex conjugate(5+i) in both numerator and denominator
\[\frac{\sqrt{-36}}{5-i}\frac{5+i}{5+i}\]
get this step?

Answer 5

Alrightt , I Got That

Answer 6

now u know that (a+bi)(a-bi)=a^2+b^2
so (5+i)(5-i)=25+1=26