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\(\frac{5+5\sqrt{5}}{10+\sqrt{500}}=\)

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by Gmat_mission » Sun May 05, 2019 10:53 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

$$\frac{5+5\sqrt{5}}{10+\sqrt{500}}=$$ A) \(\frac{1}{2}\)
B) \(2\)
C) \(1 + \sqrt{5}\)
D) \(1 + 5\sqrt{5}\)
E) \(5 + \sqrt{5}\)

[spoiler]OA=A[/spoiler]

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by Scott@TargetTestPrep » Fri May 10, 2019 4:42 pm
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
We can simplify √500 first:

√500 = √100 x √5 = 10√5

So we have:

(5 + √5)/(10 + √500)

(5 + √5)/(10 + 10√5)

(5 + √5)/[2(5 + 5√5)]

1/2

Answer: A

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