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Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3

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Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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New post 18 Oct 2018, 01:40
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A
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Which of the following is the correct ordering of \(2√13\), \(4√3\), \(5√2\) and \(3√6\) ?


A. \(2√13 < 3√6 < 5√2 < 4√3\)

B. \(3√6 < 5√2 < 4√3 < 2√13\)

C. \(4√3 < 5√2 < 2√13 < 3√6\)

D. \(5√2<4√3<3√6<2√13\)

E. \(2√13 < 3√6 < 4√3 < 5√2\)
Spoiler: OA

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Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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New post 18 Oct 2018, 03:10
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Bunuel wrote:
Which of the following is the correct ordering of \(2√13\), \(4√3\), \(5√2\) and \(3√6\) ?


A. \(2√13 < 3√6 < 5√2 < 4√3\)

B. \(3√6 < 5√2 < 4√3 < 2√13\)

C. \(4√3 < 5√2 < 2√13 < 3√6\)

D. \(5√2<4√3<3√6<2√13\)

E. \(2√13 < 3√6 < 4√3 < 5√2\)



\(2√13 = √52\)
\(4√3 = √48\) =
\(5√2 = √50\)
\(3√6 = √54\)

i.e. Answer: Option C
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Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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New post 19 Oct 2018, 14:24
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Bunuel wrote:
Which of the following is the correct ordering of \(2√13\), \(4√3\), \(5√2\) and \(3√6\) ?


A. \(2√13 < 3√6 < 5√2 < 4√3\)

B. \(3√6 < 5√2 < 4√3 < 2√13\)

C. \(4√3 < 5√2 < 2√13 < 3√6\)

D. \(5√2<4√3<3√6<2√13\)

E. \(2√13 < 3√6 < 4√3 < 5√2\)


We can square each number:

(2√13)^2 = 4 x 13 = 52

(4√3)^2 = 16 x 3 = 48

(5√2)^2 = 25 x 2 = 50

(3√6)^2 = 9 x 6 = 54

Since 48 < 50 < 52 < 54, then we know that 4√3 < 5√2 < 2√13 < 3√6.

Answer: C
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Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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New post 27 Jan 2019, 07:57
Easiest way to solve this is with following method:

2√13=√52
4√3=√48
5√2=√50
3√6=√54

You can compare very easily now... simple :)
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Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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New post 27 Jan 2019, 19:00
Bunuel wrote:
Which of the following is the correct ordering of \(2√13\), \(4√3\), \(5√2\) and \(3√6\) ?


A. \(2√13 < 3√6 < 5√2 < 4√3\)

B. \(3√6 < 5√2 < 4√3 < 2√13\)

C. \(4√3 < 5√2 < 2√13 < 3√6\)

D. \(5√2<4√3<3√6<2√13\)

E. \(2√13 < 3√6 < 4√3 < 5√2\)


Square all the numbers to get

\(2√13\), 52
\(4√3\), 48
\(5√2\) 50
\(3√6\) 54

Answer C
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Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3   [#permalink] 01 Mar 2020, 17:49
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