To simplify as

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

To simplify x−5x−5\displaystyle \frac{\sqrt{x}-\sqrt{5}}{x-5} as x→5x \to 5, which of the following expressions should be multiplied to both numerator and denominator? (a) x−5\sqrt{x}-\sqrt{5} (b) x+5\sqrt{x}+\sqrt{5} (c) x+5x+5 (d) x5\sqrt{x}\sqrt{5}

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