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 May 23rd, 2012, 04:49 PM #1 Member   Joined: Jan 2012 Posts: 43 Thanks: 0 simplify expression hi, im having trouble with a fairly basic simplifying expression. The question is: Simplify the expression $\frac{sqrt(x^4+3x^2)}{x}$ where $x$ is negative. ive worked through this problem a few times and came up with $sqrt{x^2+3}$ $x+3$ there graphs look completely different which leads me to think theyre incorrect $\frac{x^3+3x}{sqrt(x^4+3x^2)}$ which doesnt look right to me and i thought simplifying radicals was meant to remove them from the bottom this question is driving me insane and any help would be great thanks
 May 23rd, 2012, 04:56 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,821 Thanks: 1047 Math Focus: Elementary mathematics and beyond Re: simplify expression $\frac{\sqrt{x^4\,+\,3x^2}}{x},\,x\,<\,0$ $=\,\frac{\sqrt{x^2(x^2\,+\,3)}}{x}$ $=\,\frac{\sqrt{x^2}\sqrt{x^2\,+\,3}}{x}$ $=\,\frac{|x|\sqrt{x^2\,+\,3}}{x}$ $=\,-\sqrt{x^2\,+\,3}\text{ for }x\,\lt\,0$
 May 23rd, 2012, 05:06 PM #3 Member   Joined: Jan 2012 Posts: 43 Thanks: 0 Re: simplify expression how careless of me thank you

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