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

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