It is currently 18 Oct 2017, 02:41

### 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

# If x=3/4 and y=2/5, what is the value of

Author Message
TAGS:

### Hide Tags

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7674

Kudos [?]: 17345 [1], given: 232

Location: Pune, India
If x=3/4 and y=2/5, what is the value of [#permalink]

### Show Tags

01 Aug 2016, 22:33
1
KUDOS
Expert's post
ajit257 wrote:
If $$x=\frac{3}{4}$$ and $$y=\frac{2}{5}$$, what is the value of $$\sqrt{x^2 +6x +9}-\sqrt{y^2 -2y +1}$$ ?

A. 87/20
B. 63/20
C. 47/20
D. 15/4
E. 14/5

You can approximate too if perfect square doesn't come to mind.

$$\sqrt{x^2 +6x +9}-\sqrt{y^2 -2y +1}$$

$$\sqrt{x^2 +6x +9}$$ --->
3/4 square is 9/16 which is slightly more than 0.5
3/4 of 6 is 4.5
So .5 + 4.5 + 9 is 14 and its square root is slightly less than 4, say about 3.7

$$\sqrt{y^2 -2y +1}$$ ---->
2/5 square is 4/25 which is very small.
2/5 of 2 is 0.8
So -0.8 + 1 = 1/5 and its square root is about 1/2.2 which is 0.5

So $$\sqrt{x^2 +6x +9}-\sqrt{y^2 -2y +1} = 3.7 - 0.5 = 3.2$$ (slightly more than 3)

Only option (B) is slightly more than 3.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Kudos [?]: 17345 [1], given: 232

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16723

Kudos [?]: 273 [0], given: 0

Re: If x=3/4 and y=2/5, what is the value of [#permalink]

### Show Tags

08 Aug 2017, 12:20
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.
_________________

Kudos [?]: 273 [0], given: 0

Re: If x=3/4 and y=2/5, what is the value of   [#permalink] 08 Aug 2017, 12:20

Go to page   Previous    1   2   [ 22 posts ]

Display posts from previous: Sort by