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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
For which of the following values of x is (1 - (2 - x^(1/2))^(1/2))
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23 Jul 2022, 08:26
23 Jul 2022, 08:26
Expert Reply
00:00
Question Stats:
50% (00:35) correct
50% (04:28) wrong based on 6 sessions
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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
A. 1
B. 2
C. 3
D. 4
E. 5
Re: For which of the following values of x is (1 - (2 - x^(1/2))^(1/2))
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24 Jul 2022, 16:32
24 Jul 2022, 16:32
Expert Reply
Real Numbers are: Integers, Fractions and Irrational Numbers. Non-real numbers are even roots (such as square roots) of negative numbers.
We have \(\sqrt{1-\sqrt{2-\sqrt{x}}}\). For \({x=5}\) expression becomes:\(\sqrt{1-\sqrt{2-\sqrt{5}}}\) and \(2-\sqrt{5}<0\), thus square root from this expression is not a real number.
Answer: E.
More on real number here https://gre.myprepclub.com/forum/gre-math- ... 29276.html
We have \(\sqrt{1-\sqrt{2-\sqrt{x}}}\). For \({x=5}\) expression becomes:\(\sqrt{1-\sqrt{2-\sqrt{5}}}\) and \(2-\sqrt{5}<0\), thus square root from this expression is not a real number.
Answer: E.
More on real number here https://gre.myprepclub.com/forum/gre-math- ... 29276.html
gmatclubot
Re: For which of the following values of x is (1 - (2 - x^(1/2))^(1/2)) [#permalink]
24 Jul 2022, 16:32
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