Question 129342
{{{(3/4)*sqrt(-144)}}} Start with the given expression


{{{(3/4)*sqrt(-1*144)}}} Factor {{{-144}}} into {{{-1*144}}}



{{{(3/4)*sqrt(-1)*sqrt(144)}}} Break up the square root



{{{(3/4)*i*sqrt(144)}}} Replace {{{sqrt(-1)}}} with {{{i}}}. Remember, {{{sqrt(-1)=i}}}



{{{(3/4)*i*12}}} Take the square root of 144 to get 12



{{{9*i}}} Multiply 12 and {{{3/4}}} to get {{{(12/1)*(3/4)=36/4=9}}}



So {{{(3/4)*sqrt(-144)=9i}}}