Solution for Problem 1.5.3

Perform indicated operation and simplify.

= (5 + 3(2i))(-8 + i)

Always remove radicals first 

= (5 + 6i)(-8 + i)

= -40 + 5i - 48i + 6i2  

Now Multiply using F O I L

= -40 - 43i + 6(-1)  

i2 = -1

= -40 - 43i - 6

Simplify

= -46 - 43i 

standard form: a + bi .