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simplify (5)/(sqrt(2)-1)

 Apr 26, 2016

Best Answer 

 #1
avatar+118608 
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(5)/(sqrt(2)-1)

 

\(\frac{5}{\sqrt2-1}\\ =\frac{5}{\sqrt2-1}\times \frac{\sqrt2+1}{\sqrt2+1}\\ =\frac{5(\sqrt2+1)}{(\sqrt2-1)(\sqrt2+1)}\\ =\frac{(5\sqrt2+5)}{(2-1)}\\ =5\sqrt2+5\)

 Apr 26, 2016
 #1
avatar+118608 
+5
Best Answer

(5)/(sqrt(2)-1)

 

\(\frac{5}{\sqrt2-1}\\ =\frac{5}{\sqrt2-1}\times \frac{\sqrt2+1}{\sqrt2+1}\\ =\frac{5(\sqrt2+1)}{(\sqrt2-1)(\sqrt2+1)}\\ =\frac{(5\sqrt2+5)}{(2-1)}\\ =5\sqrt2+5\)

Melody Apr 26, 2016
 #2
avatar+26 
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Thanks I wanna r8 10 stars!

RealSans  Apr 26, 2016

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