Question

Simplify the square root of -72

Answer 1

6i
`√(2)`

Explanation:

Using the rule of radicals

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

Given

`√(-72)`

=
`√(36(2)(-1))`

=
`√(36)` ×
`√(2)` ×
`√(-1)`

= 6
`√(2)` × i

= 6i
`√(2)`