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avatar+1678 

Simplify the expression
\frac{3}{\sqrt{2}} + \frac{1}{\sqrt{18}} - \frac{6}{\sqrt{3}} + \frac{9}{\sqrt{2}}

 Dec 18, 2023
 #1
avatar+129771 
+1

\(\frac{3}{\sqrt{2}} + \frac{1}{\sqrt{18}} - \frac{6}{\sqrt{3}} + \frac{9}{\sqrt{2}} \)

 

3/sqrt 2  +  1/ [ 3sqrt 2 ]  -  6/sqrt3  +9/sqrt2  =

 

[ 9 + 1 + 27 ] / [3sqrt 2]  -   6/sqrt 3  =

 

[ 37sqrt 2 ] / 6]  -     [6 * 2 sqrt 3 ] / 6  =

 

[37sqrt 2 - 12sqrt 3 ]  /  6

 

 

cool cool cool

 Dec 19, 2023

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