Question 88516
{{{(5+sqrt(-8))+(-13+4sqrt(-2))}}}


{{{(5+sqrt(-1*4*2))+(-13+4sqrt(-1*2))}}} Factor -8 into -1*4*2 and -2 into -1*2


{{{(5+sqrt(-1)*sqrt(4)*sqrt(2))+(-13+4sqrt(-1)*sqrt(2))}}} Break up the square roots


{{{(5+sqrt(-1)*2*sqrt(2))+(-13+4sqrt(-1)*sqrt(2))}}} Take the square root of 4 to get 2


{{{(5+2*i*sqrt(2))+(-13+4*i*sqrt(2))}}} Replace {{{sqrt(-1)}}} with {{{i}}}



{{{(5-13)+(2*i*sqrt(2)+4*i*sqrt(2))}}} Group like terms


{{{-8+6*i*sqrt(2)}}} Combine like terms