Data Sufficiency

sanju09 wrote:

kvcpk wrote:I think I found the right thread to post my question.

As per what I have heard, on the GMAT Land,
If it is given,
x = sqrt(36), then x=6
if it is given
x^2 = 36, then x can be 6 or -6

Am I right?

Then what about sqrt(x^2) ?

sqrt(x^2) is x

selango wrote:Sanju,

Please check the below GMATPREP problem,

https://www.beatthegmat.com/gmat-prep-sq ... 63401.html

If sqrt(x^2)=x,then the answer is 1.

Can you please clarify?

selango wrote:Thanks sanju.

Lot of confusion with sqrt() function.

The important takeaway is sqrt(x^2) always gives the positive value whatever the sign of x.

-->sqrt(x^2)=|x|

kvcpk wrote:

selango wrote:Thanks sanju.

Lot of confusion with sqrt() function.

The important takeaway is sqrt(x^2) always gives the positive value whatever the sign of x.

-->sqrt(x^2)=|x|

The question here is IF sqrt(x^2) = |x|, then
sqrt(x^2) = -x when x<0
sqrt(x^2) = x when x>0

No doubt that it is going to be positive. But, There will be a negative sign before it if x is less than 0.

Am I right??

selango wrote:Thanks sanju.

Lot of confusion with sqrt() function.

The important takeaway is sqrt(x^2) always gives the positive value whatever the sign of x.

-->sqrt(x^2)=|x|