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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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Joined: 02 Sep 2009
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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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18 Oct 2018, 01:40
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Difficulty:

35% (medium)

Question Stats:

69% (01:18) correct 31% (01:47) wrong based on 64 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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Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3  [#permalink]

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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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19 Oct 2018, 14:24
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.

Answer: C
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Re: Which of the following is the correct ordering of 2√13, 4√3, 5√2 and 3 &nbs [#permalink] 19 Oct 2018, 14:24
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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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