Question

Simply the imaginary number square root -45

Answer 1

3i
`√(5)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

and
`√(-1)` = i

Given

`√(-45)`

=
`√(9(5)(-1))`

=
`√(9)` ×
`√(5)` ×
`√(-1)`

= 3 ×
`√(5)` × i

= 3i
`√(5)`