SOLUTION: Multiply. sqrt (x/3) sqrt (5/x-2)

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Question 201813: Multiply. sqrt (x/3) sqrt (5/x-2)
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt (x/3) * sqrt ( 5/(x-2) )
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sqrt{ (x/3) * (5/(x-2) ) }
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sqrt { ( 5x) / ( 3x-6) }
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to rationalize den,,,mult num & den by sqrt(3x-6)
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{sqrt (5x) *sqrt(3x-6)} / {sqrt(3x-6)* sqrt(3x-6)}
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sqrt( 15x^2 -30x) / (3x-6)
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check using x=1, both answer and original = sqrt(-15)/-3,,,,ok