SOLUTION: Rationalize the denominator: sqrt(x)/3+sqrt(x) would like a step-by-step please & thank you!

Question 468162: Rationalize the denominator: sqrt(x)/3+sqrt(x)
would like a step-by-step please & thank you!
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your equation is sqrt(x) / (3 + sqrt(x))
multiply numerator and denominator by (3 - sqrt(x))
this will remove sqrt(x) from the denominator.
the numerator will become sqrt(x) * (3 - sqrt(x) which will become 3*sqrt(x) - x.
the denominator will become (3 - sqrt(x)) * (3 + sqrt(x)) which will become 9 - x.
the resulting fraction will be (3*sqrt(x) - x) / (9 - x).
putting it through the algebra.com formula generator will make it look like this:

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