Question

Simplify the square root of -24

Answer 1

2i
`√(6)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)` and

`√(-1)` = i

Given

`√(-24)`

=
`√(4(6)(-1))`

=
`√(4)` ×
`√(6)` ×
`√(-1)`

= 2 ×
`√(6)` × i

= 2i
`√(6)`