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sunniboy007
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Which of the following is true if A = sqrt12 - sqrt11 and B 29 Feb 2004, 15:47
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Which of the following is true if A = sqrt12 - sqrt11 and B = sqrt11 - sqrt10

a. A>B
b. AB^2
d. Go back to where you came from :twisted:
e. None of these



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Paul
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Which of the following is true if A = sqrt12 - sqrt11 and B Updated on: 03 Mar 2004, 09:53
Originally posted by Paul on 29 Feb 2004, 15:52.
Last edited by Paul on 03 Mar 2004, 09:53, edited 1 time in total.
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Hey Sunniboy, welcome back! :woohoo I would go with B for this one
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Which of the following is true if A = sqrt12 - sqrt11 and B 29 Feb 2004, 17:34
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Sunny!

Welcome back ! and Good luck with your preparations!!

Good question. As simple as it looks, but I need to use the calculator
to find out the results.

Any if the question is changed to

A = SQRT(20) - SQRT(15)
B = SQRT(17) - SQRT(12)

What is the simple method to solve this?
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Paul
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Which of the following is true if A = sqrt12 - sqrt11 and B 29 Feb 2004, 17:49
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kpadma
Sunny!

Welcome back ! and Good luck with your preparations!!

Good question. As simple as it looks, but I need to use the calculator
to find out the results.

Any if the question is changed to

A = SQRT(20) - SQRT(15)
B = SQRT(17) - SQRT(12)

What is the simple method to solve this?


The way to look at this is when you add 1 to an integer, the difference in the square root of the two numbers will become increasingly smaller as the value of the original integer is increased. For instance, if you take SQRT(1000) - SQRT(999), the difference will be much smaller than SQRT(1) - SQRT(0).

Therefore, A - [sqrt12 - sqrt11] is less than B - [sqrt11 - sqrt10] and the square of A (a smaller decimal) is then less than the square of B. C is then wrong
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Which of the following is true if A = sqrt12 - sqrt11 and B 03 Mar 2004, 09:44
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Paul
kpadma
Sunny!

Welcome back ! and Good luck with your preparations!!

Good question. As simple as it looks, but I need to use the calculator
to find out the results.

Any if the question is changed to

A = SQRT(20) - SQRT(15)
B = SQRT(17) - SQRT(12)

What is the simple method to solve this?

The way to look at this is when you add 1 to an integer, the difference in the square root of the two numbers will become increasingly smaller as the value of the original integer is increased. For instance, if you take SQRT(1000) - SQRT(999), the difference will be much smaller than SQRT(1) - SQRT(0).

Therefore, A - [sqrt12 - sqrt11] is less than B - [sqrt11 - sqrt10] and the square of A (a smaller decimal) is then less than the square of B. C is then wrong


That is a good observation Paul!! Thanks

Another simple way to look at this is:

A = sqrt12 - sqrt11 = 1 / (sqrt12 + sqrt11)

B = sqrt11 - sqrt10 = 1 / (sqrt11 + sqrt10 )

A is obviously less than B. So A < B is the answer. (choice B)

Paul,

In your first response to this problem you selected A as an answer. I assume that it is a typo.
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Which of the following is true if A = sqrt12 - sqrt11 and B 03 Mar 2004, 09:52
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Yes, Gmatblast, I meant B. Thx for pointing it out. I'll edit my answer



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