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st=square_root 10

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st=square_root 10 [#permalink] New post 18 Jan 2016, 07:48
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st=\(\sqrt{10}\)

Quantity A
Quantity B
\(s^2\)
\(\frac{10}{t^2}\)


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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Re: st=square_root 10 [#permalink] New post 18 Jan 2016, 07:57
Expert's post
Solution

Do not being intimidated by the question

st=\(\sqrt{10}\). Squaring both sides we do have \(s^2t^2\) = \((\sqrt{10}^2)\)

So \(s^2t^2=10\).Indeed \(s^2=\frac{10}{t^2}\)

The answer is \(C\)
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Re: st=square_root 10 [#permalink] New post 09 Feb 2019, 14:48
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Carcass wrote:
st=\(\sqrt{10}\)

Quantity A
Quantity B
\(s^2\)
\(\frac{10}{t^2}\)


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.


GIVEN: st = √10

Divide both sides by t to get: s = (√10)/t

Square both sides to get: s² = (√10)²/t²

Simplify to get: s² = 10/t²

Answer: C

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Brent
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Re: st=square_root 10 [#permalink] New post 11 Feb 2019, 03:41
Does it must be obvious to understant that s and t are diferent numbers?
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Re: st=square_root 10 [#permalink] New post 11 Feb 2019, 05:14
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Malbash212 wrote:
Is it must that s and t are different numbers?



No, they can be same too..
If s=t, st=\(s^2=\sqrt{10}\)

A= \(s^2=\sqrt{10}\)
B= \(\(\frac{10}{t^2}\)=\(\frac{10}{s^2}\)=\(\frac{10}{\sqrt{10}}\)=\)\(\sqrt{10}\)

So A=B, even when s=t.
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Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

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Re: st=square_root 10 [#permalink] New post 11 Feb 2019, 06:41
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Malbash212 wrote:
Does it must be obvious to understant that s and t are diferent numbers?


Many students believe that if we have two DIFFERENT variables (e.g., x and y), then those two variables cannot have the same value.
This belief, however, is incorrect.

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Re: st=square_root 10   [#permalink] 11 Feb 2019, 06:41
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