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1/1+sqrt1/3
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06 Mar 2021, 02:43
06 Mar 2021, 02:43
Expert Reply
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Question Stats:
60% (00:47) correct
39% (01:06) wrong based on 46 sessions
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Quantity A |
Quantity B |
\(\frac{1}{1+ \sqrt{\frac{1}{3}}}\) |
\(\frac{1}{1+ \sqrt{\frac{1}{4}}}\) |
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.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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1/1+sqrt1/3
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06 Mar 2021, 02:53
06 Mar 2021, 02:53
1
Carcass wrote:
Quantity A |
Quantity B |
\(\frac{1}{1+ \sqrt{\frac{1}{3}}}\) |
\(\frac{1}{1+ \sqrt{\frac{1}{4}}}\) |
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: \(\frac{\sqrt{3}}{{1 + \sqrt{3}}}\)
Col. B: \(\frac{\sqrt{4}}{{1 + \sqrt{4}}}\)
Cross-multiplying the denominators;
Col. A: \(\sqrt{3}(1+\sqrt{4})\)
Col. B: \(\sqrt{4}(1+\sqrt{3})\)
Col. A: \(\sqrt{3} + \sqrt{12}\)
Col. b: \(\sqrt{4} + \sqrt{12}\)
Subtracting \(\sqrt{12}\) from both the sides;
Col. A: \(\sqrt{3}\)
Col. B: \(\sqrt{4}\)
Hence, option B
Re: 1/1+sqrt1/3
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07 Mar 2021, 14:42
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
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
