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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
3\sqrt{80}+\frac{3}{9+4\sqrt{5}}}=
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06 Sep 2021, 09:48
06 Sep 2021, 09:48
1
Expert Reply
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Question Stats:
40% (02:11) correct
60% (01:37) wrong based on 15 sessions
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\(\sqrt{3\sqrt{80}+\frac{3}{9+4\sqrt{5}}} =\)
A) \(2\sqrt{3\sqrt{5}}\)
B) \(3\)
C) \(3\sqrt{3}\)
D) \(9+4\sqrt{5}\)
E) \(3+2\sqrt{5}\)
A) \(2\sqrt{3\sqrt{5}}\)
B) \(3\)
C) \(3\sqrt{3}\)
D) \(9+4\sqrt{5}\)
E) \(3+2\sqrt{5}\)
3\sqrt{80}+\frac{3}{9+4\sqrt{5}}}=
[#permalink]
07 Sep 2021, 17:20
07 Sep 2021, 17:20
2
\(\sqrt{3\sqrt{80} + \frac{3}{9+4\sqrt{5}}}\)
= \(\sqrt{3\sqrt{80} + \frac{3}{9+4\sqrt{5}} * \frac{(9-4\sqrt{5})}{(9-4\sqrt{5})} }\)
= \(\sqrt{3\sqrt{80} + \frac{3(9-4\sqrt{5})}{(81-80)} }\)
= \(\sqrt{12\sqrt{5} + 27 - 12 \sqrt{5} }\)
= \(\sqrt{27}\)
= \(3\sqrt{3}\)
Answer is C
= \(\sqrt{3\sqrt{80} + \frac{3}{9+4\sqrt{5}} * \frac{(9-4\sqrt{5})}{(9-4\sqrt{5})} }\)
= \(\sqrt{3\sqrt{80} + \frac{3(9-4\sqrt{5})}{(81-80)} }\)
= \(\sqrt{12\sqrt{5} + 27 - 12 \sqrt{5} }\)
= \(\sqrt{27}\)
= \(3\sqrt{3}\)
Answer is C
Re: 3\sqrt{80}+\frac{3}{9+4\sqrt{5}}}=
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20 May 2024, 08:31
20 May 2024, 08:31
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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