Question

Write as an imaginary number. Answer is j/12?

`sqrt(-4/16`

Answer 1

`sqrt(-4/16)=color(magenta)(i/2)`

Explanation:

`sqrt(-4/16)`
`color(white)("XXX")=sqrt(-1) * sqrt(4/16)`

`color(white)("XXX")=sqrt(-1) * sqrt(1/4)`

`color(white)("XXX")= sqrt(-1) * sqrt(1)/sqrt(4)`

`color(white)("XXX")= i * 1/2 or 1/2 i or i/2`

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I replaced your `j` with an `i` since from what I have observed here, `i` is the more common symbol used here for `sqrt(-1)` (although I have seen `j` used elsewhere).

I think the `1` in your suggested answer `j/12` was just a typo.