document.write( "Question 391227: I am using the conjugate of my original equation, $\"sqrt%28x%5E2%2Bx%29-x\"$ , and trying to simplify it. please explain how to factor x out of the denominator of the following expression: $\"%28x%5E2%2Bx-x%5E2%29%2F%28sqrt%28x%5E2%2Bx%29%2Bx%29\"$ . My textbook states that $\"x%2F%28sqrt%281%2B%281%2Fx%29%29%2B1%29\"$ is supposed to be the answer, but I do not understand how to factor the radical. many, many thanks! \n" ); document.write( "

Algebra.Com's Answer #277525 by scott8148(6628) $\"\"$ $\"About$

You can put this solution on YOUR website!
x^2 + x = x^2 + (x^2 / x)\r
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\n" ); document.write( "\n" ); document.write( "factoring ___ x^2[1 + (1/x)]\r
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\n" ); document.write( "\n" ); document.write( "sqrt{x^2[1 + (1/x)]} + x = x {sqrt[1 + (1/x)] + 1} \n" ); document.write( "

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