is radical x squared =x an identity (true for all values of x)?
J jayeamy81 New member Joined Jun 20, 2006 Messages 5 Jun 20, 2006 #1 is radical x squared =x an identity (true for all values of x)?
stapel Super Moderator Staff member Joined Feb 4, 2004 Messages 16,582 Jun 20, 2006 #2 Is the radical a square root? Is the square inside the root, or outside? Please reply with clarification, along with your work and reasoning. Thank you. Eliz.
Is the radical a square root? Is the square inside the root, or outside? Please reply with clarification, along with your work and reasoning. Thank you. Eliz.
pka Elite Member Joined Jan 29, 2005 Messages 11,990 Jun 20, 2006 #4 This is a TRUE statement: \(\displaystyle \L \sqrt {\left( { - 2} \right)^2 } = \sqrt 4 = 2.\) Now what do you think?
This is a TRUE statement: \(\displaystyle \L \sqrt {\left( { - 2} \right)^2 } = \sqrt 4 = 2.\) Now what do you think?
J jayeamy81 New member Joined Jun 20, 2006 Messages 5 Jun 20, 2006 #5 It would mean that Yes, it is true for all values of x? Am I correct
pka Elite Member Joined Jan 29, 2005 Messages 11,990 Jun 20, 2006 #6 Is it true for \(\displaystyle x = -2\)?????
J jayeamy81 New member Joined Jun 20, 2006 Messages 5 Jun 20, 2006 #7 no, because you can't have a negative for an answer, at least that is what I think...I believe I read that somewhere
no, because you can't have a negative for an answer, at least that is what I think...I believe I read that somewhere
skeeter Elite Member Joined Dec 15, 2005 Messages 3,218 Jun 21, 2006 #8 \(\displaystyle \sqrt{x^2} = |x|\)