GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 12 Dec 2018, 20:04

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

# What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2)

Author Message
TAGS:

### Hide Tags

Intern
Joined: 04 Feb 2018
Posts: 10
Location: India
What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2)  [#permalink]

### Show Tags

Updated on: 02 Oct 2018, 01:10
1
3
00:00

Difficulty:

65% (hard)

Question Stats:

48% (01:58) correct 52% (02:32) wrong based on 48 sessions

### HideShow timer Statistics

What is the Value of $$(1+\sqrt{3})(\sqrt{(2+{\sqrt{{3}}})}$$ ?

a.$$\sqrt{2}(2-\sqrt{3})$$

b.$$\sqrt{2}(2+\sqrt{2})$$

c.$$\sqrt{2}(2+\sqrt{3})$$

d.$$\sqrt{2}(3+\sqrt{3})$$

e.$$\sqrt{3}(2+\sqrt{3})$$

Originally posted by rheabiswal on 02 Oct 2018, 01:07.
Last edited by Bunuel on 02 Oct 2018, 01:10, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Aug 2009
Posts: 7104
What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2)  [#permalink]

### Show Tags

02 Oct 2018, 02:49
1
1
1
rheabiswal wrote:
What is the Value of $$(1+\sqrt{3})(\sqrt{(2+{\sqrt{{3}}})}$$ ?

a.$$\sqrt{2}(2-\sqrt{3})$$

b.$$\sqrt{2}(2+\sqrt{2})$$

c.$$\sqrt{2}(2+\sqrt{3})$$

d.$$\sqrt{2}(3+\sqrt{3})$$

e.$$\sqrt{3}(2+\sqrt{3})$$

$$(1+\sqrt{3})(\sqrt{(2+{\sqrt{{3}}})}$$ =$$\sqrt{(1+\sqrt{3})^2(2+\sqrt{3})}=\sqrt{(1+3+2\sqrt{3})(2+\sqrt{3})}=\sqrt{2(2+√3)(2+√3)}=\sqrt{2}(2+\sqrt{3})$$

C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2) &nbs [#permalink] 02 Oct 2018, 02:49
Display posts from previous: Sort by