#(1+sqrtx)/(1-sqrtx)#?

1 Answer
M M.
Apr 2, 2018

#(1+sqrt(x))/(1-sqrt(x))((1+sqrt(x))/(1+sqrt(x)))#=#(1+sqrt(x))^2/(1^2-(sqrt(x))^2)#=#(1+sqrt(x))^2/(1-x)#

Explanation:

You should remove radicals from denominators, so, to do so, we multiply the numerator and denominator by the conjugate of the denominator, which will produce a difference of squares on the denominator, thus removing the radical from it.

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