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m=2-sqrt(3)       

 

m.(4-m).(2-m)/sqrt(3)

 Dec 24, 2015

Best Answer 

 #1
avatar+105634 
+9

m=2-sqrt(3)       

 

\(m.(4-m).(2-m)/sqrt(3)\\~\\ =\frac{m.(4-m).(2-m)}{\sqrt3}\\ \mbox{sub in }m=2-\sqrt3\\ =\frac{(2-\sqrt3)(4-(2-\sqrt3)).(2-(2-\sqrt3))}{\sqrt3}\\ =\frac{(2-\sqrt3)(2+\sqrt3).\sqrt3}{\sqrt3}\\ =(2-\sqrt3)(2+\sqrt3)\\ =4-3\\ =1\)

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 Dec 25, 2015
edited by Melody  Dec 25, 2015
 #1
avatar+105634 
+9
Best Answer

m=2-sqrt(3)       

 

\(m.(4-m).(2-m)/sqrt(3)\\~\\ =\frac{m.(4-m).(2-m)}{\sqrt3}\\ \mbox{sub in }m=2-\sqrt3\\ =\frac{(2-\sqrt3)(4-(2-\sqrt3)).(2-(2-\sqrt3))}{\sqrt3}\\ =\frac{(2-\sqrt3)(2+\sqrt3).\sqrt3}{\sqrt3}\\ =(2-\sqrt3)(2+\sqrt3)\\ =4-3\\ =1\)

Melody Dec 25, 2015
edited by Melody  Dec 25, 2015

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