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3 years ago

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

Mathematics

1 answer:

aivan3 [116]3 years ago

3 0

Answer:

√a(√a + 2) a - 2√a

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

a - 4 a - 4

Step-by-step 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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