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16 Sep 2014, 00:17
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D
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Difficulty:
5%
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Question Stats:
88% (00:54) correct
12%
(01:23)
wrong
based on 796
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If \(x\) is a positive number and \(2\sqrt{2}=\sqrt{\sqrt{x}-6}\), what is the value of \(x\)?
A. \(\frac{14}{\sqrt{2}}\)
B. \(14\)
C. \(169\)
D. \(196\)
E. \(225\)
A. \(\frac{14}{\sqrt{2}}\)
B. \(14\)
C. \(169\)
D. \(196\)
E. \(225\)
16 Sep 2014, 00:17
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Official Solution:
If \(x\) is a positive number and \(2\sqrt{2}=\sqrt{\sqrt{x}-6}\), what is the value of \(x\)?
A. \(\frac{14}{\sqrt{2}}\)
B. \(14\)
C. \(169\)
D. \(196\)
E. \(225\)
First, square both sides of the equation to get: \(8=\sqrt{x}-6\);
After rearranging, we find: \(\sqrt{x} = 14\);
Squaring once more, we have: \(x = 196\).
Answer: D
If \(x\) is a positive number and \(2\sqrt{2}=\sqrt{\sqrt{x}-6}\), what is the value of \(x\)?
A. \(\frac{14}{\sqrt{2}}\)
B. \(14\)
C. \(169\)
D. \(196\)
E. \(225\)
First, square both sides of the equation to get: \(8=\sqrt{x}-6\);
After rearranging, we find: \(\sqrt{x} = 14\);
Squaring once more, we have: \(x = 196\).
Answer: D
General Discussion
VAKRATUNDA
26 Dec 2018, 10:54
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Best Explanation Ever. Bunnel is Genius.
