You can put this solution on YOUR website! (3x -sqrt5/3x +sqrt5)
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Multiply numerator and denominator by 3x-sqrt5 to get:
(3x - sqrt5)^2 / [(3x+sqrt5)(3x-sqrt5)]
= (3x - sqrt5)^2 / (9x^2 - 5)
= [9x^2 - 6sqrt5 x +5]/ [ 9x^2 - 5]
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Cheers,
Stan H.