OpenStudy (anonymous):

Rationalize the denominator of

5 years ago
OpenStudy (anonymous):

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

5 years ago
hartnn (hartnn):

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

5 years ago
OpenStudy (anonymous):

I Got That

5 years ago
hartnn (hartnn):

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?

5 years ago
OpenStudy (anonymous):

Alrightt , I Got That

5 years ago
hartnn (hartnn):

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

5 years ago