SOLUTION: Rationalize the denominator. Sqrt3/SqrtX-Sqrt3 Thank you.
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Algebra: Expressions involving variables, substitution
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Question 42959
:
Rationalize the denominator.
Sqrt3/SqrtX-Sqrt3
Thank you.
Answer by
fractalier(2101)
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):
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sqrt(3) / [sqrt(x) - sqrt(3)]
We multiply top and bottom by its conjugate, sqrt(x) + sqrt(3), and get
sqrt(3) / [sqrt(x) - sqrt(3)][sqrt(x) + sqrt(3)] =
[sqrt(3x) + 3] / [x - 3]