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Math Expert V
Joined: 02 Sep 2009
Posts: 58320
Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 70% (01:32) correct 30% (01:52) wrong based on 235 sessions

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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. $$2√13 < 3√6 < 4√3 < 5√2$$

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CEO  D
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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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3
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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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Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8043
Location: United States (CA)
Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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2
1
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.

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Intern  B
Joined: 24 Jan 2019
Posts: 18
Location: India
GMAT 1: 690 Q50 V36 GPA: 3.94
Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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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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Director  G
Joined: 09 Mar 2018
Posts: 997
Location: India
Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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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. $$2√13 < 3√6 < 4√3 < 5√2$$

Square all the numbers to get

$$2√13$$, 52
$$4√3$$, 48
$$5√2$$ 50
$$3√6$$ 54

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Many of life's failures happen with people who do not realize how close they were to success when they gave up. Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3   [#permalink] 27 Jan 2019, 20:00
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