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23 Oct 2018, 23:59
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (01:49) correct
33%
(02:24)
wrong
based on 700
sessions
History
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\((\sqrt{5 + \sqrt{5}} - \sqrt{5 - \sqrt{5}})^2 =\)
A. \(10 - 4\sqrt{5}\)
B. \(10 - 2\sqrt{5}\)
C. \(20- 8\sqrt{5}\)
D. \(20 - 4\sqrt{5}\)
E. \(20 - 2\sqrt{5}\)
A. \(10 - 4\sqrt{5}\)
B. \(10 - 2\sqrt{5}\)
C. \(20- 8\sqrt{5}\)
D. \(20 - 4\sqrt{5}\)
E. \(20 - 2\sqrt{5}\)
eswarchethu135
GMAT 2: 640 Q49 V27
Posts: 276
24 Oct 2018, 00:17
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\((a-b)^2\) = \(a^2 + b^2 - 2ab\)
\((\sqrt{5 + \sqrt{5}})^2 + (\sqrt{5 - \sqrt{5}})^2 - 2 (\sqrt{5 + \sqrt{5}}) (\sqrt{5 - \sqrt{5}})\)
\(5 + \sqrt{5} + 5 - \sqrt{5} - 2 (\sqrt{25 - 5})\)
\(10 - 2(\sqrt{20})\)
\(10 - 4\sqrt{5}\)
OPTION : A
\((\sqrt{5 + \sqrt{5}})^2 + (\sqrt{5 - \sqrt{5}})^2 - 2 (\sqrt{5 + \sqrt{5}}) (\sqrt{5 - \sqrt{5}})\)
\(5 + \sqrt{5} + 5 - \sqrt{5} - 2 (\sqrt{25 - 5})\)
\(10 - 2(\sqrt{20})\)
\(10 - 4\sqrt{5}\)
OPTION : A
24 Oct 2018, 00:18
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Bunuel
\((\sqrt{5 + \sqrt{5}} - \sqrt{5 - \sqrt{5}})^2 =(5+√5)+(5-√5)-2*\sqrt{(5+√5)(5-√5)} = 10-2*\sqrt{(25-5)} = 10-4√5\)
Answer: Option A
