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

 It is currently 17 Nov 2018, 22:04

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### FREE Quant Workshop by e-GMAT!

November 18, 2018

November 18, 2018

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score. November 18th, 7 AM PST
• ### How to QUICKLY Solve GMAT Questions - GMAT Club Chat

November 20, 2018

November 20, 2018

09:00 AM PST

10:00 AM PST

The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.

# (2 + (2 + (2 + 4^(1/2))^(1/2))^(1/2))^(1/2)

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50623
(2 + (2 + (2 + 4^(1/2))^(1/2))^(1/2))^(1/2)  [#permalink]

### Show Tags

26 Aug 2018, 04:47
00:00

Difficulty:

15% (low)

Question Stats:

95% (00:18) correct 5% (00:30) wrong based on 19 sessions

### HideShow timer Statistics

$$\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{4}}}}$$ is equal to which of the following?

(A) $$\sqrt{2}$$

(B) $$2$$

(C) $$2\sqrt{2}$$

(D) $$4$$

(E) $$4\sqrt{2}$$

_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 930
WE: Supply Chain Management (Energy and Utilities)
Re: (2 + (2 + (2 + 4^(1/2))^(1/2))^(1/2))^(1/2)  [#permalink]

### Show Tags

26 Aug 2018, 07:44
Bunuel wrote:
$$\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{4}}}}$$ is equal to which of the following?

(A) $$\sqrt{2}$$

(B) $$2$$

(C) $$2\sqrt{2}$$

(D) $$4$$

(E) $$4\sqrt{2}$$

$$\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{4}}}}$$
=$$\sqrt{2+\sqrt{2+\sqrt{2+2}}$$
=$$\sqrt{2+\sqrt{2+\sqrt{4}}$$
=$$\sqrt{2+\sqrt{2+2}}$$
=$$\sqrt{2+\sqrt{4}}$$
=$$\sqrt{2+2}$$
=$$\sqrt{4}$$
=$$2$$

Ans. (B)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Re: (2 + (2 + (2 + 4^(1/2))^(1/2))^(1/2))^(1/2) &nbs [#permalink] 26 Aug 2018, 07:44
Display posts from previous: Sort by