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Square root of fraction

Source: AMC 10 2006B, Problem 7

February 17, 2006
functionAMC

Problem Statement

Which of the following is equivalent to \displaystyle \sqrt {\frac {x}{1 \minus{} \frac {x \minus{} 1}{x}}} when x<0 x < 0? (A) \minus{} x \qquad (B) x \qquad (C) 1 \qquad (D) \sqrt {\frac x2} \qquad (E) x\sqrt { \minus{} 1}