GMAT Changed on April 16th - Read about the latest changes here

 It is currently 26 Apr 2018, 21:57

### GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the xy-coordinate system, the distance between points

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44655
In the xy-coordinate system, the distance between points [#permalink]

### Show Tags

26 Mar 2015, 04:42
Expert's post
2
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:02) correct 32% (01:06) wrong based on 207 sessions

### HideShow timer Statistics

In the xy-coordinate system, the distance between points $$(2\sqrt{3}, \ -\sqrt{2})$$ and $$(5\sqrt{3}, \ 3\sqrt{2})$$ is approximately

A. 4.1
B. 5.9
C. 6.4
D. 7.7
E. 8.1

Kudos for a correct solution.
[Reveal] Spoiler: OA

_________________
Senior Manager
Joined: 02 Mar 2012
Posts: 343
Schools: Schulich '16
Re: In the xy-coordinate system, the distance between points [#permalink]

### Show Tags

26 Mar 2015, 07:27
1
KUDOS
D

distance =sqrt(x2-x1)2 +(y2-y1)2 (2 outside brackets stands for sqaure)

distance=sqrt32+27
=sqrt59

approx 7.7
Intern
Joined: 20 Mar 2015
Posts: 18
Location: Italy
GMAT 1: 670 Q48 V34
GPA: 3.7
Re: In the xy-coordinate system, the distance between points [#permalink]

### Show Tags

26 Mar 2015, 11:32
1
KUDOS
The distance is
$$\sqrt{(5\sqrt{3}-2\sqrt{3})^2+(3\sqrt{2}+\sqrt{2})^2}=\sqrt{(3\sqrt{3})^2+(4\sqrt{2})^2}=\sqrt{9\cdot 3+16\cdot 2}=\sqrt{59}$$
since $$7^2=49$$ and $$8^2=64$$, $$7<\sqrt{59}<8$$. Only D. gives a possible value and is the correct answer
Math Expert
Joined: 02 Sep 2009
Posts: 44655
Re: In the xy-coordinate system, the distance between points [#permalink]

### Show Tags

30 Mar 2015, 03:43
Bunuel wrote:
In the xy-coordinate system, the distance between points $$(2\sqrt{3}, \ -\sqrt{2})$$ and $$(5\sqrt{3}, \ 3\sqrt{2})$$ is approximately

A. 4.1
B. 5.9
C. 6.4
D. 7.7
E. 8.1

Kudos for a correct solution.

MAGOOSH OFFICIAL SOLUTION:
Attachment:

distancebetweenpoints_text.PNG [ 19.29 KiB | Viewed 2880 times ]

_________________
SVP
Joined: 06 Nov 2014
Posts: 1889
Re: In the xy-coordinate system, the distance between points [#permalink]

### Show Tags

31 Mar 2015, 12:33
Bunuel wrote:
In the xy-coordinate system, the distance between points $$(2\sqrt{3}, \ -\sqrt{2})$$ and $$(5\sqrt{3}, \ 3\sqrt{2})$$ is approximately

A. 4.1
B. 5.9
C. 6.4
D. 7.7
E. 8.1

Kudos for a correct solution.

Distance = sqrt[(3sqrt(2) + sqrt(2))^2+ (5sqrt(3) - 2sqrt(3))^2
= sqrt[4sqrt(2) + 3 sqrt(3)]
= sqrt(59)
Now, 7^2 = 49 and 8^2 = 64
So, answer lies between 7 and 8,
Hence option (D).

--
Optimus Prep's GMAT On Demand course for only \$299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimus-prep.com/gmat-on-demand-course
Non-Human User
Joined: 09 Sep 2013
Posts: 6647
Re: In the xy-coordinate system, the distance between points [#permalink]

### Show Tags

28 Dec 2017, 22:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: In the xy-coordinate system, the distance between points   [#permalink] 28 Dec 2017, 22:36
Display posts from previous: Sort by