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Bunuel
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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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Bunuel
What is the value of \(\frac{2}{2−\sqrt{2}}\)?

A. 1
B. 2
C. 1 + √2
D. 2 + √2
E. 4

\(=\frac{2(2+√2)}{(2−√2)(2+√2)}\)

\(= \frac{4+2√2}{4−2}\)

\(= \frac{2(2 + √2)}{2}\)

\(= (2 +√2)\)

Thus, Answer will be (D)
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by approximation:

2/(2-1.4) = 20/6 = 3.xx

closest answer is 2 + root 2
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