Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 06 Jul 2015, 13:09

### 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

# Assume the expression Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 +

Author Message
TAGS:
GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Followers: 13

Kudos [?]: 70 [0], given: 0

Assume the expression Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + [#permalink]  29 Jul 2003, 19:08
Assume the expression Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + ...))))) ultimatimately converges to X. What is X?

(A) Sqrt(3)
(B) 1 + Sqrt(2)
(C) 1 + Sqrt(3)
(D) 2
(E) Sqrt(3)*Sqrt (2)
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

Manager
Joined: 25 Jun 2003
Posts: 95
Followers: 1

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

Let X = Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + ...)))))

==> X = SQRT(2+X)

or X^2 = 2 + X

Solving for X ,we get 2 and -1

So I choose D
_________________

Brainless

CEO
Joined: 15 Aug 2003
Posts: 3467
Followers: 61

Kudos [?]: 719 [0], given: 781

Brainless wrote:
Let X = Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + ...)))))

==> X = SQRT(2+X)

or X^2 = 2 + X

Solving for X ,we get 2 and -1

So I choose D

Brain

Manager
Joined: 25 Jun 2003
Posts: 95
Followers: 1

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

praetorian123 wrote:
Brainless wrote:
Let X = Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + ...)))))

==> X = SQRT(2+X)

or X^2 = 2 + X

Solving for X ,we get 2 and -1

So I choose D

Brain

Praet,

Sqrt(2 + Sqrt( 2 + sqrt(2 + sqrt(2 + ............)))) --- (1)

Say x = Sqrt( 2 + sqrt(2+ ..............)))

means (1) will be equivalent to x = Sqrt(2 + x)
( bold part equated to x )

or X^2 = 2 + X

Let me know if this is OK
_________________

Brainless

CEO
Joined: 15 Aug 2003
Posts: 3467
Followers: 61

Kudos [?]: 719 [0], given: 781

Brainless wrote:
praetorian123 wrote:
Brainless wrote:
Let X = Sqrt(2 + Sqrt(2 + Sqrt(2 + Sqrt(2 + ...)))))

==> X = SQRT(2+X)

or X^2 = 2 + X

Solving for X ,we get 2 and -1

So I choose D

Brain

Praet,

Sqrt(2 + Sqrt( 2 + sqrt(2 + sqrt(2 + ............)))) --- (1)

Say x = Sqrt( 2 + sqrt(2+ ..............)))

means (1) will be equivalent to x = Sqrt(2 + x)
( bold part equated to x )

or X^2 = 2 + X

Let me know if this is OK

x = Sqrt(2 + x)

how are the two x's same...are we approximating that the "x on the left"[/b] is equal to "x on the right"
Intern
Joined: 29 Aug 2003
Posts: 49
Location: Detroit, MI
Followers: 0

Kudos [?]: 2 [0], given: 0

how are the two x's same...are we approximating that the "x on the left"[/b] is equal to "x on the right"[/quote]

Yes, it's an approximation. We can do this for infinite sequences such as this.
Similar topics Replies Last post
Similar
Topics:
5 SQRT[ 2(SQRT of 63) + 2/8+3(SQRT of 7) ] 8 23 Nov 2008, 21:53
what is (2 + 3sqrt2)^3 3 13 Jan 2008, 13:47
What is 3^sqrt 2 1 16 Jun 2007, 09:40
For which of the following values of x is sqrt(1-sqrt(2-sqrt 8 18 Jun 2006, 06:46
What's the area of a Rhombus with sides 5sqrt2, and a angle 6 09 Jul 2005, 08:04
Display posts from previous: Sort by