SOLUTION: how do you simplify 5√(-6)*4√(-10)

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Question 186676: how do you simplify 5√(-6)*4√(-10)
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Factor -6 into -1*6. Factor -10 into -1*10


Break up the square root.


Replace the square root of -1 with 'i' (note: )


Rearrange the terms.


Multiply 'i' and 'i' to get


Replace with -1. Remember, since , then


Rearrange the terms again


Multiply


Combine the roots.


Multiply


Factor 60 into 4*15. Note: one factor is a perfect square


Break up the square root.


Take the square root of 4 to get 2


Multiply


So

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!

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