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For \(\sqrt{1-\sqrt{2-\sqrt{x}}}\) to be a real number √(2 - √x) must be non-negative. Thus, 2 - √x ≥ 0 => 0 ≤ x ≤ 4.VJesus12 wrote:For which of the following values of \(x\) is \(\sqrt{1-\sqrt{2-\sqrt{x}}}\) NOT defined as a real number?
A. 1
B. 2
C. 3
D. 4
E. 5
[spoiler]OA=E[/spoiler]
Source: GMAT Prep
Since √5 is about 2.2, we see that √(2 - 2.2) is negative, and taking the square root of a negative number would not give a real number as an answer..VJesus12 wrote:For which of the following values of \(x\) is \(\sqrt{1-\sqrt{2-\sqrt{x}}}\) NOT defined as a real number?
A. 1
B. 2
C. 3
D. 4
E. 5
[spoiler]OA=E[/spoiler]
Source: GMAT Prep
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