48 .
3i(1-sqrt(2)*i)
=3i*1-3i*sqrt(2)*i
=3i-3sqrt(2)*i^2
=3i-3sqrt(2)*(-1)
=3i+3sqrt(2)
=3sqrt(2) + 3i
50 .
(1+sqrt(3)*i)/(6-3i).........rationalize
((6+3i)(1+sqrt(3)*i))/((6-3i)(6+3i))
((6+3i)(1+sqrt(3)*i))/(6^2-(3i)^2)
(6+6sqrt(3)*i+3i+3i*sqrt(3)*i)/(36-(9(-1))
((3 + 6sqrt(3))*i - 3sqrt(3) + 6)/(36+9)
(3(1 + 2sqrt(3)) i - sqrt(3) + 2)/45
((1 + 2sqrt(3)) i - sqrt(3) + 2)/15
((1 + 2sqrt(3)) i/15 - (sqrt(3) - 2)/15
-(1/15) (sqrt(3) - 2) +(1/15)(1 + 2sqrt(3))*i
