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The square root of 7/2 (seven halves) multiplied by the square root of 5/3 (five thirds)

Guest Apr 2, 2017
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 #1
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\(\sqrt{\frac72}*\sqrt{\frac53}=\sqrt{\frac72*\frac53}=\sqrt{\frac{7*5}{2*3}}=\sqrt{\frac{35}{6}} \\~\\=\frac{\sqrt{35}}{\sqrt{6}}*\frac{\sqrt6}{\sqrt6}=\frac{\sqrt{35*6}}{6}=\frac{\sqrt{210}}{6} \\~\\ \approx 2.415\)

hectictar  Apr 2, 2017
 #2
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+1

Sorry about this...we are just supposed to simply...so sorry...what would the answer be then?

 

-(I posted the original question)

Guest Apr 2, 2017
 #3
avatar+4686 
+2

Either \(\sqrt{\frac{35}{6}}\)   or   \(\frac{\sqrt{210}}{6}\)

 

No need to be sorry! I'm not really sure which one is considered simpler. My guess is the second one. smiley

hectictar  Apr 2, 2017

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