SOLUTION: Ive been working on Algebra 2 homework for two hours now and need serious help with a few questions. like how to I express numbers in square root form in terms of i? Example

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Question 694023: Ive been working on Algebra 2 homework for two hours now and need serious help with a few questions.
like how to I express numbers in square root form in terms of i?
Example : 8 (square root symbol) -4 under the square root symbol
Found 3 solutions by stanbon, JBarnum, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
8 (square root symbol) -4 under the square root symbol
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8*sqrt(-4)
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4 is a perfect square and its square root is 2
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-1 is also a perfect square and its square root is "i".
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So, 8sqrt(-4) = 8*(2i) = 16i
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Cheers,
Stan H.
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Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
i is imaginary number equal to sqrt%28-1%29
so 8sqrt%28-4%29=8sqrt%28-1%2A4%29=8%2Asqrt%284%29%2Asqrt%28-1%29=8%2A2%2Asqrt%28-1%29=16sqrt%28-1%29=16i

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
8 (square root symbol) -4 under the square root symbol
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8sqrt%28-4%29
= 8sqrt%284%29%2Asqrt%28-1%29
i+=+sqrt%28-1%29
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= 8*2*i
= 16i