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 February 6th, 2012, 02:37 PM #1 Newbie   Joined: Feb 2012 Posts: 2 Thanks: 0 Converting radicals to mixed radicals with fractions I understand this, but I found a lot of differences between the way students were finding this out. The question is... 2/5 [sqrt]450[/sqrt] Can someone explain to me how to answer ends up being 6 [sqrt]2[/sqrt]
 February 6th, 2012, 03:09 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 462 Math Focus: Calculus/ODEs Re: Converting radicals to mixed radicals with fractions $\frac{2}{5}\sqrt{450}=\frac{2}{5}\sqrt{2\cdot15^2} =\frac{2\cdot15}{5}\sqrt{2}=6\sqrt{2}$
February 6th, 2012, 03:15 PM   #3
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Hello, ohaider!

Quote:
 $\text{Simplify: }\:\frac{2}{5}\,\!\sqrt{450}$ Can someone explain to me how to answer ends up being $6\,\!\sqrt{2}$ ?

$\text{W\!e have: }\;\frac{2}{5}\,\cdot\,\sqrt{450}\;=\;\frac{2}{5}\ ,\cdot\,\sqrt{225\,\cdot\,2} \;=\;\frac{2}{5}\,\cdot\,\sqrt{225}\,\cdot\,\sqrt{ 2} \;=\;\frac{2}{5}\,\cdot\,15\,\cdot\sqrt{2} \;=\;6\,\!\sqrt{2}$

 February 6th, 2012, 06:28 PM #4 Newbie   Joined: Feb 2012 Posts: 2 Thanks: 0 Re: Converting radicals to mixed radicals with fractions Ok, Yes that makes sense. Can you explain [Sqrt] 2/9 ?
 February 6th, 2012, 06:33 PM #5 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,453 Thanks: 693 Re: Converting radicals to mixed radicals with fractions SQRT(2/9) = SQRT(2) / SQRT(9) = SQRT(2) / 3
February 6th, 2012, 07:04 PM   #6
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Quote:
 Originally Posted by ohaider Ok, Yes that makes sense. Can you explain [Sqrt] 2/9 ?

See below for how to use $LaTex$ to make your posts beautiful.

Hmm... turns out I don't now how to do the logo...

edit...
I tried $\latex$, $\Latex$, but not $\LaTeX$!

 February 6th, 2012, 07:13 PM #7 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 462 Math Focus: Calculus/ODEs Re: Converting radicals to mixed radicals with fractions Use \LaTeX to get $\LaTeX$

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# explain the difference between mixed and entire radicals

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