Question

Simplify the imaginary number sqr -75

Answer 1

5i
`√(3)`

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

and
`√(-1)` = i

Given

`√(-75)`

=
`√(25(3)(-1))`

=
`√(25)` ×
`√(3)` ×
`√(-1)`

= 5 ×
`√(3)` × i

= 5i
`√(3)`