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avatar+1493 

Simplify the expression
\frac{1}{\sqrt{36}} - \sqrt{27} - \frac{1}{\sqrt{27}} + \frac{1}{\sqrt{18}}.

 Dec 18, 2023
 #1
avatar+126978 
+1

\(\frac{1}{\sqrt{36}} - \sqrt{27} - \frac{1}{\sqrt{27}} + \frac{1}{\sqrt{18}} \)

 

1/6 -  1/sqrt (27)   -  sqrt (27)  + 1/ sqrt (18)  =

 

1/6  - [ 1/sqrt (27) + sqrt (27) ] + 1/ (3 sqrt (2))  

 

1/(3*2) + 1/(3sqrt 2)  -  [ 1/(3sqrt 3) + 3sqrt (3) ]  =

 

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

 

[ 1 + sqrt 2[ / 6   - [ 28 sqrt (3) ]  /  9  =

 

[ 3 + 3sqrt 2  - 56 sqrt 3  ]  /18

 

 

cool cool cool

 Dec 19, 2023

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