Question

Rationalize the denominator of square root of negative 36 over open parentheses 2 minus 3 i close parentheses plus open parentheses 3 plus 2 i

Answer 1

`( √(-36) )/((2 - 3 i )+( 3 + 2 i ))= \\ = (6i)/(5-i)* (5+i)/(5+i)= \\ = (30i+6i ^(2) )/(25-i ^(2) ) = (-6+30i)/(25+1)= \\ = (-6+30i)/(26)=`
= - 3/13 + 15/13 i