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is equal to which of the following?
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24 Aug 2018, 12:14
24 Aug 2018, 12:14
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Question Stats:
82% (00:25) correct
17% (00:51) wrong based on 57 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) \(4\sqrt{2}\)
(A) \(\sqrt{2}\)
(B) \(2\)
(C) \(2\sqrt{2}\)
(D) \(4\)
(E) \(4\sqrt{2}\)
Re: is equal to which of the following?
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19 Mar 2020, 15:06
19 Mar 2020, 15:06
I got the right answer here but I'm thinking I could have done it wrong. Let's start on the outside. \sqrt{2} is 2 to the 1/2. Let's call it 2 to the 8/16ths because that's the LCD for what's coming up. Next in line is under 2 square roots so it is 2 to the 4/16. Next comes 2 to the 2^2/16, as 3 square roots means something is to the 1/8 power. Finally, the 4 is raised to the 1/16th. Because 4 is 2^2, we can make it 2^2/16.
Add all the 2s up and we get 2^16/16, or 2^1, or 2.
Is this correct?
Add all the 2s up and we get 2^16/16, or 2^1, or 2.
Is this correct?
is equal to which of the following?
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26 Dec 2025, 00:37
26 Dec 2025, 00:37
The question is missing the whole square root enclosing all the numbers at each level. It should look something like \sqrt{2 + [square_root]2 + [square_root]4}[/square_root][/square_root]
