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1/1+sqrt1/3

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Carcass
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1/1+sqrt1/3 [#permalink] New post   06 Mar 2021, 02:43
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Question Stats:

60% (00:46) correct 40% (01:06) wrong based on 45 sessions

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Quantity A
Quantity B
11+√13
11+√14



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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KarunMendiratta
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1/1+sqrt1/3 [#permalink] New post   06 Mar 2021, 02:53
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Carcass wrote:
Quantity A
Quantity B
11+√13
11+√14



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Col. A: √31+√3

Col. B: √41+√4

Cross-multiplying the denominators;

Col. A: √3(1+√4)
Col. B: √4(1+√3)

Col. A: √3+√12
Col. b: √4+√12

Subtracting √12 from both the sides;

Col. A: √3
Col. B: √4

Hence, option B
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Re: 1/1+sqrt1/3 [#permalink] New post   07 Mar 2021, 14:42
This one its preety easy...

Both which from A and B will take more from one?

1+ square root of .33

OR

1+ square root of .25?

Withour knowing how much is the square root of .33 and .25 clearly sqaure root of .25 will be smaller and hence, will take less from 1.

B
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Re: 1/1+sqrt1/3 [#permalink]
07 Mar 2021, 14:42
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