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avatar+479 

Simplify the expression
\frac{1}{\sqrt{36}} - \sqrt{27} - \frac{1}{\sqrt{27}} - \sqrt{18} + \frac{1}{\sqrt{18}} - \sqrt{9}

 Jan 14, 2024
 #1
avatar+129883 
+1

  1 /  [ sqrt 36 - sqrt 27 ] - 1 / [ sqrt 27 - sqrt 18 ] +  1 / [ sqrt 18 - sqrt 9]

 

1/ [ 6 - sqrt 27 ]  - 1 / [ sqrt 27 - sqrt 18] + 1 / [sqrt18  - 3]

 

[ 6 + sqrt 27 ] / [ 36 - 27]   - [ sqrt 27 + sqrt 18]  / [ 27 - 18]  + [sqrt 18 + 3 ] / [18 - 9]

 

[ 6 +sqrt 27 ] / 9   -  [ sqrt 27 + sqrt 18 ] / 9  +  [ sqrt 18   + 3  ]  / 9  

 

[  6 + 3 ]  / 9  =   

 

1

 

 

cool cool cool

 Jan 14, 2024

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