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Multiplying 3 divided by square root of 17 - square root of 2 by which factor will produce an equivalent fraction with a rational denominator?
A. square root 17 - square root 2/square root 17 - square root 2
B. square root 17 + square root 2/square root 17 + square root 2
C. square root 2 - square root 17/square root 2 - square root 17
D. square root 15/square root 15

Respuesta :

sqdancefan
[tex]\frac{3}{\sqrt{17}-\sqrt{2}} = \frac{3}{\sqrt{17}-\sqrt{2}}\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}} = \frac{3(\sqrt{17}+\sqrt{2})}{15}[/tex]

The appropriate choice is
  B. [tex]\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}[/tex]

Answer:

 B. \frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}

Step-by-step explanation:

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