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(2 + (2 + (2 + 4^(1/2))^(1/2))^(1/2))^(1/2)

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Math Expert
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Joined: 02 Sep 2009
Posts: 58445
(2 + (2 + (2 + 4^(1/2))^(1/2))^(1/2))^(1/2)  [#permalink]

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New post 26 Aug 2018, 05:47
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (00:33) correct 6% (00:34) wrong based on 37 sessions

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Joined: 01 Oct 2017
Posts: 1013
WE: Supply Chain Management (Energy and Utilities)
Re: (2 + (2 + (2 + 4^(1/2))^(1/2))^(1/2))^(1/2)  [#permalink]

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New post 26 Aug 2018, 08:44
Bunuel wrote:
\(\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{4}}}}\) is equal to which of the following?


(A) \(\sqrt{2}\)

(B) \(2\)

(C) \(2\sqrt{2}\)

(D) \(4\)

(E) \(4\sqrt{2}\)


\(\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{4}}}}\)
=\(\sqrt{2+\sqrt{2+\sqrt{2+2}}\)
=\(\sqrt{2+\sqrt{2+\sqrt{4}}\)
=\(\sqrt{2+\sqrt{2+2}}\)
=\(\sqrt{2+\sqrt{4}}\)
=\(\sqrt{2+2}\)
=\(\sqrt{4}\)
=\(2\)

Ans. (B)
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Re: (2 + (2 + (2 + 4^(1/2))^(1/2))^(1/2))^(1/2)   [#permalink] 26 Aug 2018, 08:44
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