Complex Multiplication

(1-sqrt(2i))*(2 + sqrt(3i) )   =

2 - 2sqrt(2i) + sqrt(3i)  - sqrt( 2 * 3 * i^2)  =

2 - 2sqrt(2i) + sqrt(3i)  - sqrt(6)i

Help please: (1-sqrt(2i))*(2 + sqrt(3i) )

Square root: sqrt(2i) = 1+i

Subtract: 1 - (1+i) = -i

Square root: sqrt(3i) = 1.2247449+1.2247449i

Add: 2 + (1.2247449+1.2247449i) = 3.2247449+1.2247449i

Multiply: (-i) * (3.2247449+1.2247449i) = 1.2247449 - 3.2247449i