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exponential problem

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GRE Prep Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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exponential problem [#permalink] New post 15 May 2018, 15:56
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Question Stats:

100% (00:19) correct 0% (00:00) wrong based on 10 sessions
\((\sqrt{5}+\sqrt{7})^2=\)

A. 12
B. \(12 + 2\sqrt{3}\)
C. \(12 + 4\sqrt{3}\)
D. \(12 + \sqrt{35}\)
E. \(12 + 2\sqrt{35}\)
[Reveal] Spoiler: OA

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Re: exponential problem [#permalink] New post 13 May 2019, 04:48
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sandy wrote:
\((\sqrt{5}+\sqrt{7})^2=\)

A. 12
B. \(12 + 2\sqrt{3}\)
C. \(12 + 4\sqrt{3}\)
D. \(12 + \sqrt{35}\)
E. \(12 + 2\sqrt{35}\)


Use FOIL to expand the product

Note: \((\sqrt{x})(\sqrt{y})=\sqrt{xy}\)


So, \((\sqrt{5}+\sqrt{7})^2=(\sqrt{5}+\sqrt{7})(\sqrt{5}+\sqrt{7})\)

\(=\sqrt{25}+\sqrt{35}+\sqrt{35}+\sqrt{49}\)

\(=5+2\sqrt{35}+7\)

\(=12+2\sqrt{35}\)

Answer: E

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: exponential problem   [#permalink] 13 May 2019, 04:48
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