Question

Simplify the expression to a +bi form

Answer 1

I will only use positive roots to illustrate the procedure.

`√(36) -√(-4) -√(121) +√(-64) =`

6-
`√(-4)` -11+
`√(-4*16)` (is multiplication operator)

6-
`√(-4) -11 + 4√(4)` (taking square roots of 16)

6-
`√(4i)` -11 +
`4√(4i)` (remember √-4= √4 • -1 = √4 • √-1 =√4i)

`6-11- √(4i) +4√(4i)` (combine integers and simplify the imaginary terms)

`-5+3√(4i)` (final result in a + bi form)