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How to rationalize the denominator of sqrt(a)/sqrt(a)-2

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Answer:

√a(√a + 2) a - 2√a

----------------- = -----------------

a - 4 a - 4

Explanation:

I am assuming that by "sqrt(a)/sqrt(a)-2" you meant:

√a

----------

√a - 2

To rationalize the denom., multiply numerator and denom. of this fraction by the conjugate of √a - 2, which is √a + 2:

√a(√a + 2)

-----------------

a - 4

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