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

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

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26 Aug 2018, 05:47
00:00

Difficulty:

5% (low)

Question Stats:

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

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$$\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{4}}}}$$ is equal to which of the following?

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

(B) $$2$$

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

(D) $$4$$

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

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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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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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