Question

Write in terms of i . Simplify your answer as much as possible. Square root -27

Answer 1

3i
`√(3)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)` and
`√(-1)` = i

Given

`√(-27)`

=
`√(9(3)(-1))`

=
`√(9)` ×
`√(3)` ×
`√(-1)`

= 3i
`√(3)`