roots and squares question (for kicks)

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Mon Jul 13, 2015 3:30 pm

What is the value of x?

(1) âˆš(xÂ²) = 4
(2) (âˆšx)Â² = 4

Brent Hanneson - Creator of GMATPrepNow.com

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Source: Beat The GMAT — Data Sufficiency | Mon Jul 13, 2015 3:30 pm

nikhilgmat31: Legendary Member; Posts: 518; Joined: Tue May 12, 2015 8:25 pm; Thanked: 10 times

by nikhilgmat31 » Mon Jul 13, 2015 11:36 pm

(1) âˆš(xÂ²) = 4
(2) (âˆšx)Â² = 4

Statement 1 can lead to x = 4 or -4 so not NOT SUFFICIENT.

Statement 2 leads to (âˆšx)Â² = 4 to x= 4 by cancelling square with square root. since x can't be -4

so x = 4 so SUFFICIENT.

Answer is B

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