sqrt3 + 1/3+sqrt3 - 1/3-sqrt3 : GMAT Quantitative Section
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 23 Feb 2017, 20:43

### 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

# sqrt3 + 1/3+sqrt3 - 1/3-sqrt3

Author Message
TAGS:

### Hide Tags

Manager
Joined: 26 Feb 2013
Posts: 184
Followers: 0

Kudos [?]: 42 [0], given: 25

sqrt3 + 1/3+sqrt3 - 1/3-sqrt3 [#permalink]

### Show Tags

29 Nov 2013, 04:25
$$sqrt3 + \frac{1}{3+sqrt3} - \frac{1}{3-sqrt3}$$

Can someone please suggest ways of solving such problems?
Math Expert
Joined: 02 Sep 2009
Posts: 37102
Followers: 7251

Kudos [?]: 96453 [0], given: 10751

Re: sqrt3 + 1/3+sqrt3 - 1/3-sqrt3 [#permalink]

### Show Tags

29 Nov 2013, 04:56
Skag55 wrote:
$$sqrt3 + \frac{1}{3+sqrt3} - \frac{1}{3-sqrt3}$$

Can someone please suggest ways of solving such problems?

$$sqrt3 + \frac{1}{3+sqrt3} - \frac{1}{3-sqrt3}=sqrt3 + \frac{(3-sqrt3)-(3+sqrt3)}{(3+sqrt3)(3-sqrt3)}=\sqrt3 + \frac{-2\sqrt3}{9-3}=\sqrt3- \frac{\sqrt3}{3}=\sqrt3-\frac{1}{\sqrt3}=\frac{2}{\sqrt{3}}$$.

Hope it's clear.
_________________
Re: sqrt3 + 1/3+sqrt3 - 1/3-sqrt3   [#permalink] 29 Nov 2013, 04:56
Display posts from previous: Sort by