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# Number Theory Doubt

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Senior Manager
Joined: 07 Sep 2010
Posts: 329
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24 Aug 2013, 04:20
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.

Thanks
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Math Expert
Joined: 02 Sep 2009
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25 Aug 2013, 07:52
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.

Thanks

What does |5| equals to? |5|=5.
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Re: Number Theory Doubt   [#permalink] 25 Aug 2013, 07:52
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