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21 Mar 2022, 08:15
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
61% (01:52) correct
39%
(01:49)
wrong
based on 353
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\(a = \sqrt{2} + \sqrt{6}\)
\(b= \sqrt{3} + \sqrt{5}\)
\(c= 4\)
If a, b and c have the values shown, which of the following shows their order from least to greatest?
(A) a, b, c
(B) b, c, a
(C) b, a, c
(D) c, a, b
(E) c, b, a
Are You Up For the Challenge: 700 Level Questions
\(b= \sqrt{3} + \sqrt{5}\)
\(c= 4\)
If a, b and c have the values shown, which of the following shows their order from least to greatest?
(A) a, b, c
(B) b, c, a
(C) b, a, c
(D) c, a, b
(E) c, b, a
Are You Up For the Challenge: 700 Level Questions
20 Jul 2023, 09:33
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Bunuel
The three numbers (a, b, and c) are positive, so their ascending order must follow the ascending order of their squares.
a^2 = 2 + 2√12 + 6 = 8 + √48
b^2 = 3 + 2√15 + 5 = 8 + √60
c^2 = 16 = 8 + 8 = 8 + √64
Since a^2 < b^2 < c^2, we have:
a < b < c
Answer: A
General Discussion
21 Mar 2022, 08:41
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Bunuel
\(a = 1.41 + 2.45 => 3.86\) , \(b = 1.73 + 2.24 => 3.97\) & \(c = 4\) , So Answer must be (E) c, b,a
