Of the following, which is greatest?

Question

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

Choanir · Accepted Answer

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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ZoltanBP · Answer

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

Mohammadmo · Answer

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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Archit3110 · Answer

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

ScottTargetTestPrep · Answer

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

saukrit · Answer

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

Nipungupta9081 · Answer

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 )

bumpbot · Answer

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Of the following, which is greatest?

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Of the following, which is greatest?

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