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With the negative radicand of a square root, this will be an imaginary number. So the first thing we do is handle the minus. Start by factoring out -1:
Next we use a property of radicals, , to separate the factors into their own square roots:
Since = i this becomes:
Next we simplify. First we can use another property of radicals, , to separate the numerator and denominator into their own square roots:
which simplifies as follows:
To rationalize the denominator we just multiply the numerator and denominator by :
This is a simplified answer. However imaginary numbers are usually written in the form of some number times "i". Rearranging the above into this form we get:
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