GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
\sqrt{5/2}
[#permalink]
24 Jun 2019, 11:22
24 Jun 2019, 11:22
Expert Reply
1
Bookmarks
00:00
Question Stats:
76% (00:28) correct
23% (00:35) wrong based on 152 sessions
Hide Show timer Statistics
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: \sqrt{5/2}
[#permalink]
25 Jun 2019, 05:47
25 Jun 2019, 05:47
1
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
