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What is sqrt(54)*sqrt(20)/sqrt(189) ?

Davis  Mar 2, 2017

Best Answer 

 #1
avatar+4154 
+6

\(\frac{(\sqrt{54})(\sqrt{20})}{\sqrt{189}} \\ = \frac{\sqrt{(54)(20)}}{\sqrt{189}} \\ = \frac{\sqrt{1080}}{\sqrt{189}} \\ = \frac{\sqrt{1080}(\sqrt{189})}{\sqrt{189}(\sqrt{189})} \\ = \frac{\sqrt{204,120}}{189} \\ = \frac{54\sqrt{70}}{189} \\ = \frac{2\sqrt{70}}{7}\)

hectictar  Mar 2, 2017
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3+0 Answers

 #1
avatar+4154 
+6
Best Answer

\(\frac{(\sqrt{54})(\sqrt{20})}{\sqrt{189}} \\ = \frac{\sqrt{(54)(20)}}{\sqrt{189}} \\ = \frac{\sqrt{1080}}{\sqrt{189}} \\ = \frac{\sqrt{1080}(\sqrt{189})}{\sqrt{189}(\sqrt{189})} \\ = \frac{\sqrt{204,120}}{189} \\ = \frac{54\sqrt{70}}{189} \\ = \frac{2\sqrt{70}}{7}\)

hectictar  Mar 2, 2017
 #3
avatar+320 
0

Thanks, hectictar

Davis  Mar 2, 2017
 #2
avatar+320 
+5

Thanks, hecticar

Davis  Mar 2, 2017

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