Question

Help? Algebra 2 complex numbers

Answer 1

- 5 - 2i
`√(11)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

and
`√(-1)` = i

Evaluate the radical

`√(-44)`

=
`√(4(11)(-1))`

=
`√(4)` ×
`√(11)` × i

= 2i
`√(11)`

Hence

- 5 -
`√(-44)`

= - 5 - 2i
`√(11)`