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Of the following, which is greatest?

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gmatt1476
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Of the following, which is greatest? [#permalink] New post   21 Sep 2019, 14:42
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Of the following, which is greatest?

A. \(3\sqrt{2}\)

B. \(2\sqrt{3}\)

C. \(\frac{4\sqrt{3}}{5}\)

D. \(\frac{5\sqrt{2}}{4}\)

E. \(\frac{7}{\sqrt{3}}\)

PS17402.01
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Re: Of the following, which is greatest? [#permalink] New post   22 Sep 2019, 00:50
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gmatt1476 wrote:
Of the following, which is greatest?

A. \(3\sqrt{2}\)

B. \(2\sqrt{3}\)

C. \(\frac{4\sqrt{3}}{5}\)

D. \(\frac{5\sqrt{2}}{4}\)

E. \(\frac{7}{\sqrt{3}}\)

PS17402.01


A. \(3\sqrt{2}=\sqrt{18}\)

B. \(2\sqrt{3}=\sqrt{12}\), which is less than A.

C. \(\frac{4\sqrt{3}}{5}=0.8\sqrt{3}\), which is less than B.

D. \(\frac{5\sqrt{2}}{4}=1.25\sqrt{2}\), which is less than A.

E. \(\frac{7}{\sqrt{3}}=\sqrt{\frac{49}{3}}\approx \sqrt{16.33}\), which is less than A.

Answer: A
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Re: Of the following, which is greatest? [#permalink] New post   26 Sep 2019, 08:14
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I just squared all the options
A. 9*2=18
B. 4*3 =12
C. 16*3/12 = 48/25
D. 25*2/16 =50/16
E. 49/3 =16.33
Hence A

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Re: Of the following, which is greatest? [#permalink] New post   22 Sep 2019, 00:52
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from given options
√3=1.73 and √2 = 1.4
for all given options test we get option A to be greatest amongst others
IMOA


gmatt1476 wrote:
Of the following, which is greatest?

A. \(3\sqrt{2}\)

B. \(2\sqrt{3}\)

C. \(\frac{4\sqrt{3}}{5}\)

D. \(\frac{5\sqrt{2}}{4}\)

E. \(\frac{7}{\sqrt{3}}\)

PS17402.01
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Re: Of the following, which is greatest? [#permalink] New post   29 Sep 2019, 19:01
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gmatt1476 wrote:
Of the following, which is greatest?

A. \(3\sqrt{2}\)

B. \(2\sqrt{3}\)

C. \(\frac{4\sqrt{3}}{5}\)

D. \(\frac{5\sqrt{2}}{4}\)

E. \(\frac{7}{\sqrt{3}}\)

PS17402.01


Since all the numbers are positive, we can square them (to remove the square root), and the one with the largest square is the one that has the greatest value. The following are the squares of the numbers.

A. 9 x 2 = 18

B. 4 x 3 = 12

C. 16 x 3 / 25 = 48/25 < 2

D. 25 x 2 / 16 = 50/16 < 4

E. 49/3 < 17

We see that 3√2 is the greatest since its square is the greatest.

Answer: A
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Re: Of the following, which is greatest? [#permalink] New post   21 Sep 2019, 21:49
By considering options, we'll understand that options B,C,andD must not be the answer.
As √2=~1.4 so,3×1.4=~4.2
And √3=~1.7 so, 7/3×1.7=~4.1
Hence option A

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Re: Of the following, which is greatest? [#permalink] New post   02 Nov 2019, 22:49
A) \(4.2 \sqrt{3}\)
B) \(2\sqrt{3}\)
C) \(0.8\sqrt{3}\)
D) \(1.25 \sqrt{2}\)
E) \(2.3\sqrt{3}\)

Clearly A is highest
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Re: Of the following, which is greatest? [#permalink] New post   13 Sep 2020, 05:19
We can square all the options

Since we have to find the greatest

A. 9 x 2 = 18 ( ✔ )

B. 4 x 3 = 12 ( X )

C. 16 x 3 / 25 = 48/25 ( X )

D. 25 x 2 / 16 = 50/16 ( X )

E. 49/3 ( X )
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Re: Of the following, which is greatest? [#permalink] New post   02 Dec 2023, 01:31
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Re: Of the following, which is greatest? [#permalink]
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