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\sqrt{5/2}

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Carcass
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\sqrt{5/2} [#permalink] New post   24 Jun 2019, 11:22
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Quantity A
Quantity B
\(\sqrt{\frac{5}{2}}\)
\(\frac{1}{2} \sqrt{10}\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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C
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aksh89
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Re: \sqrt{5/2} [#permalink] New post   25 Jun 2019, 01:04
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2=√4

√10/√4=√(5/2)
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Re: \sqrt{5/2} [#permalink] New post   25 Jun 2019, 05:47
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Carcass wrote:
Quantity A
Quantity B
\(\sqrt{\frac{5}{2}}\)
\(\frac{1}{2} \sqrt{10}\)


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


We can apply a nice rule that says \(\sqrt{x}\sqrt{y}=\sqrt{xy}\)
For example, \(\sqrt{3}\sqrt{7}=\sqrt{21}\)

Since \((\frac{1}{2})(\frac{1}{2})=(\frac{1}{4})\), we know that \(\sqrt{{\frac{1}{4}}}=\frac{1}{2}\)


So, \(\frac{1}{2} \sqrt{10}=\sqrt{{\frac{1}{4}}} \sqrt{10}\)

\(=\sqrt{{\frac{10}{4}}}\) [after applying the above property]

\(=\sqrt{{\frac{5}{2}}}\) [after simplifying]


We get:
QUANTITY A: \(\sqrt{{\frac{5}{2}}}\)

QUANTITY B: \(\sqrt{{\frac{5}{2}}}\)

Answer: C

Cheers,
Brent
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Ashgre
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Re: \sqrt{5/2} [#permalink] New post   19 Oct 2020, 21:40
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Carcass wrote:
Quantity A
Quantity B
\(\sqrt{\frac{5}{2}}\)
\(\frac{1}{2} \sqrt{10}\)


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



We can square on both sides to get:

Qty A: 5/2 = 2.5
Qty B: 1/4 X 10 = 5/2 = 2.5.

Hence option C is the answer.
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Re: \sqrt{5/2} [#permalink] New post   19 Jul 2022, 10:19
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: \sqrt{5/2} [#permalink]
19 Jul 2022, 10:19
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