$$\frac{5+5\sqrt{5}}{10+\sqrt{500}}=$$ A) \(\frac{1}{2}\)
B) \(2\)
C) \(1 + \sqrt{5}\)
D) \(1 + 5\sqrt{5}\)
E) \(5 + \sqrt{5}\)
[spoiler]OA=A[/spoiler]
Source: Veritas Prep
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\(\frac{5+5\sqrt{5}}{10+\sqrt{500}}=\)
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Gmat_mission
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Jay@ManhattanReview
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We have $$\frac{5+5\sqrt{5}}{10+\sqrt{500}}$$Gmat_mission wrote:$$\frac{5+5\sqrt{5}}{10+\sqrt{500}}=$$
A) \(\frac{1}{2}\)
B) \(2\)
C) \(1 + \sqrt{5}\)
D) \(1 + 5\sqrt{5}\)
E) \(5 + \sqrt{5}\)
[spoiler]OA=A[/spoiler]
Source: Veritas Prep
$$\frac{5(1+\sqrt{5})}{10+\sqrt{5\times100}}$$
$$\frac{5(1+\sqrt{5})}{10+\sqrt{5\times10^2}}$$
$$\frac{5(1+\sqrt{5})}{10+10\sqrt{5}}$$
$$\frac{5(1+\sqrt{5})}{10(1+\sqrt{5})}$$
\(\frac{1}{2}\)
The correct answer: A
Hope this helps!
-Jay
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