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Number Theory Doubt

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Number Theory Doubt [#permalink] New post 24 Aug 2013, 03:20
Hi Experts,

I am having a hard time understanding the concept that is mentioned in the GmatClub book.

Pardon my ignorance; Here is the doubt

Its been mentioned that

\sqrt{x^2}=|x| ----(1)

Then, Why
\sqrt{25}=5 Not |5| . It can be assumed that x = 5 and putting it in equation 1

\sqrt{5^2} =|5|

Or is the equation is valid only for variables not for any numbers. Please help in clarifying this concept.

Your help will be appreciated.

Thanks
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Re: Number Theory Doubt [#permalink] New post 25 Aug 2013, 06:52
Expert's post
imhimanshu wrote:
Hi Experts,

I am having a hard time understanding the concept that is mentioned in the GmatClub book.

Pardon my ignorance; Here is the doubt

Its been mentioned that

\sqrt{x^2}=|x| ----(1)

Then, Why
\sqrt{25}=5 Not |5| . It can be assumed that x = 5 and putting it in equation 1

\sqrt{5^2} =|5|

Or is the equation is valid only for variables not for any numbers. Please help in clarifying this concept.

Your help will be appreciated.

Thanks


What does |5| equals to? |5|=5.
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Re: Number Theory Doubt   [#permalink] 25 Aug 2013, 06:52
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