SOLUTION: how do you simplify (-3 sqrt(-1000))? I am rather confused on how one is suppose to do this.

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Question 734200: how do you simplify (-3 sqrt(-1000))? I am rather confused on how one is suppose to do this.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplify (-3 sqrt(-1000))
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Factor -1000 into two factors where one is the largest possible perfect square.
That would be -100*10
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= -3sqrt((-100)(10))
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Write as the product of the square roots:
= -3*sqrt(-100)*sqrt(10)
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Take the square root of the perfect square factor:
= -3*(10i)*sqrt(10)
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Multiply:
= -30i*sqrt(10)
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Cheers,
Stan H.
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