sqaure root of 4

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agarwalva: Master | Next Rank: 500 Posts; Posts: 152; Joined: Mon Feb 20, 2012 12:56 pm; Location: New york; Thanked: 9 times

by agarwalva » Sun May 13, 2012 2:04 pm

I have a stupid q/s ..

In Manhattan guide says

1. if âˆš4 = x, then x =2

2. if x^2 = 4 then x= 2 or x= -2

I never understood point 1.. I always knew point 2
Please can someone explain

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Source: Beat The GMAT — Problem Solving | Sun May 13, 2012 2:04 pm

neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Sun May 13, 2012 3:06 pm

See if this helps - https://www.beatthegmat.com/stupid-quest ... 02832.html

Anil Gandham
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aneesh.kg: Master | Next Rank: 500 Posts; Posts: 385; Joined: Mon Apr 16, 2012 8:40 amFollowed by: 29 members; Location: Pune, India; Thanked: 186 times

by aneesh.kg » Sun May 13, 2012 9:05 pm

Hi agarwalva,

That's a very good doubt.

You can read my post here:
https://www.beatthegmat.com/inequalities-t111308.html
and get it clarified.

Aneesh Bangia
GMAT Math Coach
[email protected]

GMATPad:
Facebook Page: https://www.facebook.com/GMATPad

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amit28it: Senior | Next Rank: 100 Posts; Posts: 82; Joined: Fri Nov 04, 2011 12:35 amFollowed by: 2 members

by amit28it » Sun May 13, 2012 11:02 pm

Hey agarwalva,
Look, âˆš4 shows the square root of 4 and as you know that square root of a number is that value which when multiplied by itself, gives the number.For example-
âˆš36 = 6 (as 6 x 6 = 36)
same with âˆš4 = 2 (2 x 2 = 4)
tutors

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hey_thr67: Master | Next Rank: 500 Posts; Posts: 299; Joined: Tue Feb 15, 2011 10:27 amFollowed by: 2 members; Thanked: 9 times

by hey_thr67 » Mon May 14, 2012 1:05 am

Hi,

I am not able to grasp this idea. Can somebody please explain it more or post questions which use this concept . @agarwalva could you please tell which guide you are using ?

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Bill@VeritasPrep: GMAT Instructor; Posts: 1248; Joined: Thu Mar 29, 2012 2:57 pmFollowed by: 192 members; Location: Everywhere; Thanked: 503 times; GMAT Score:780

by Bill@VeritasPrep » Mon May 14, 2012 11:32 am

When the radical is used, we are only concerned with the principal (positive) square root. If we have a squared variable, then we need both positive and negative roots.

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