SOLUTION: I am using the conjugate of my original equation, {{{sqrt(x^2+x)-x}}}, and trying to simplify it. please explain how to factor x out of the denominator of the following expression:

Question 391227: I am using the conjugate of my original equation, , and trying to simplify it. please explain how to factor x out of the denominator of the following expression: . My textbook states that is supposed to be the answer, but I do not understand how to factor the radical. many, many thanks!
Found 2 solutions by Alan3354, scott8148:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

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Multiply NUM and DEN by the conjugate of the DEN, .
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Your NUM is = x ???
You mention an "original equation", but don't show it ???

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
x^2 + x = x^2 + (x^2 / x)

factoring ___ x^2[1 + (1/x)]

sqrt{x^2[1 + (1/x)]} + x = x {sqrt[1 + (1/x)] + 1}
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