Question

Simplify using standard a + bi form

Answer 1

Hi,

Explanation:

`Q_1:\\√(-3)+4√(9) -2√(-3) =12-√(-3)=\left\{\begin{array}{c}\bullet\ 12+i\sqrt3}\\ \bullet\ 12-i\sqrt3}\\\end {array}`

`Q_2:\\√(-16)=\left\{\begin{array}{cc}\bullet &4i\ \\ \bullet &-4i\ \\\end {array}\right.\\`

`Q_3:\\(3-3i)+(20+7i)-(1+5i)=22-9i\\`

`Q_4:\\\\(4+3i)/(3-i) =((4+3i)(3+i))/((3-i)(3+i))=(12+9i+4i-3)/(9+1)=(9+13i)/(10)`