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Simplify the expression
\[\frac{1}{\sqrt{36} + \sqrt{27}} + \frac{1}{\sqrt{27} + \sqrt{18}} + \frac{1}{\sqrt{18} + \sqrt{9}}.\]

 May 4, 2020
 #1
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\(\frac{1}{\sqrt{36} + \sqrt{27}} + \frac{1}{\sqrt{27} + \sqrt{18}} + \frac{1}{\sqrt{18} + \sqrt{9}}\)\(\frac{1}{6+3\sqrt{3}}+\frac{1}{3\sqrt{3}+3\sqrt{2}}+\frac{1}{3\sqrt{2}+3}\)\(\frac{1}{3}\)

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 May 4, 2020
 #2
avatar+87 
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Thanks! It was a big help!

 May 4, 2020

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