For which of the following values of x is sqrt(1-sqrt(2-sqrt

Oldest

Best Reply

Author

Message

TAGS:

Manager

Joined: 13 Apr 2006

Posts: 56

Followers: 0

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

For which of the following values of x is sqrt(1-sqrt(2-sqrt [#permalink]

18 Jun 2006, 07:46

For which of the following values of x is sqrt(1-sqrt(2-sqrt x)) not a real number?

a. 1
b. 2
c. 3
d. 4
e. 5

Please explain your work.

Manager

Joined: 09 May 2006

Posts: 100

Location: Bangalore, India

Followers: 2

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

Re: Roots [#permalink]

18 Jun 2006, 07:56

kuristar wrote:

For which of the following values of x is sqrt(1-sqrt(2-sqrt x)) not a real number?

a. 1
b. 2
c. 3
d. 4
e. 5

Please explain your work.

E

Sqrt(5) = 2.23

In this case there is a negative number under the Sqrt sign which is not a real number

Senior Manager

Joined: 07 Jul 2005

Posts: 407

Location: Sunnyvale, CA

Followers: 2

Kudos [?]: 1 [0], given: 0

[#permalink]

18 Jun 2006, 22:36

(E) ..
Sqrt(5) > 2, which makes the expression inside sqrt -ve.

Director

Joined: 10 Oct 2005

Posts: 732

Location: Madrid

Followers: 3

Kudos [?]: 10 [0], given: 0

Re: Roots [#permalink]

18 Jun 2006, 23:23

shobhitb wrote:

kuristar wrote:

For which of the following values of x is sqrt(1-sqrt(2-sqrt x)) not a real number?

a. 1
b. 2
c. 3
d. 4
e. 5

Please explain your work.

E

Sqrt(5) = 2.23

In this case there is a negative number under the Sqrt sign which is not a real number

agree
In the which of the kind of question always check D and E answer choices first
_________________

IE IMBA 2010

GMAT Club Legend

Joined: 07 Jul 2004

Posts: 5134

Location: Singapore

Followers: 9

Kudos [?]: 87 [0], given: 0

[#permalink]

18 Jun 2006, 23:41

5 should be the answer.

The fastest way is to see sqrt2 will cancel out 2. So sqrt(5) is going to be greater than 2, and sqrt(negative number) = imaginary number.

Ans E

Manager

Joined: 09 Apr 2006

Posts: 177

Location: Somewhere in Wisconsin!

Followers: 1

Kudos [?]: 1 [0], given: 0

[#permalink]

19 Jun 2006, 00:21

Agree with E.
_________________

Thanks,
Zooroopa

Director

Joined: 28 Dec 2005

Posts: 764

Followers: 1

Kudos [?]: 6 [0], given: 0

[#permalink]

30 Jun 2006, 11:51

Interestingly for all values of x < 1 , the expression is an imaginary number as well

CEO

Joined: 20 Nov 2005

Posts: 2934

Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

Followers: 7

Kudos [?]: 37 [0], given: 0

[#permalink]

30 Jun 2006, 13:12

Futuristic wrote:

Interestingly for all values of x < 1 , the expression is an imaginary number as well

Not x <1 but for all values x < 0

yes this is E.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Manager

Joined: 14 Mar 2006

Posts: 217

Followers: 1

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

[#permalink]

30 Jun 2006, 13:24

ha, had to look at the definition of a real number. Its E, can't take a sqrt of a negative #.

[#permalink] 30 Jun 2006, 13:24

		Similar topics	Author	Replies	Last post
Similar Topics:		For which of the following values of x is the equation	joemama142000	2	30 Oct 2005, 22:04
		For which of the following values of x is the equation	hsk	2	09 Jun 2007, 16:15
		For which of the following values of x is the equation	tarek99	4	08 Dec 2007, 09:19
		which of the following is a value of X for which	gorden	2	19 Nov 2008, 19:44
	4	For which of the following values of x is	Safiya	12	24 Aug 2010, 12:41

For which of the following values of x is sqrt(1-sqrt(2-sqrt

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

For which of the following values of x is sqrt(1-sqrt(2-sqrt

For which of the following values of x is sqrt(1-sqrt(2-sqrt

Main navigation

GMAT Resources

Partners

MBA Resources