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September 16th, 2008, 10:29 AM  #1 
Newbie Joined: Sep 2008 Posts: 1 Thanks: 0  proof of square root results real numbers
Hi I wonder if there a proof for a claim that for any real x, square root of x is also real number Hope you can figure out it for me 
September 16th, 2008, 10:52 AM  #2 
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0  Re: proof of square root results real numbers
The claim is untrue, since negative reals have imaginary square roots. However, it is true that the square root of a nonnegative real number is a real number, and also that every nonnegative real has a nonnegative square root. Perhaps one of these statements is what you want?

September 17th, 2008, 07:40 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,810 Thanks: 2151 
Or perhaps "for any real x, is also a real number" was intended.


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numbers, proof, real, results, root, square 
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