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# Help!

+1
133
3
+321

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

Davis  Mar 2, 2017

#1
+5950
+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
Sort:

#1
+5950
+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
#3
+321
0

Thanks, hectictar

Davis  Mar 2, 2017
#2
+321
+5

Thanks, hecticar

Davis  Mar 2, 2017

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