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Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify.

Which choice is equivalent to the fraction below when x is an appropriate value? Hint-example-1
User IXs
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5 votes
A.
Multiply top and bottom by (3-√(2x)), then divide top and bottom by 3
User Jimifiki
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(3)/(3- √(6x) ) = (3)/(3- √(6x) ) * (3+ √(6x) )/(3+ √(6x) ) \\ = (3(3+ √(6x)))/(3^2-( √(6x) )^2) = (3(3+ √(6x)))/(9-6x) \\ =(3(3+ √(6x)))/(3(3-2x))=(3+ √(6x))/(3-2x)
User Yubaraj
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