Multiplying (3)/(sqrt(17)−sqrt(2)) by which fraction will produce an equivalent fraction with a rational denominator?

To make the denominator rational, multiply by the conjugate of √17 − √2: (√17 + √2)/(√17 + √2). The denominator becomes (√17 − √2)(√17 + √2) = 17 − 2 = 15, which is rational. Therefore, choice B, the fraction with √17 + √2 in both numerator and denominator, is correct.

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