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Simplify \(\dfrac{1}{3 \sqrt{2} - 2 \sqrt{3}}\)

 Jun 8, 2020
 #1
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0

 

Multiply by      3sqrt(2) + 2sqrt(3)  

                      ————————  

                      3sqrt(2) + 2sqrt(3)  

 

 

You'll get        3sqrt(2) + 2sqrt(3)  

                      ————————  

                       (9)(2)  –   (4)(3)  

 

 

Reduces to     3sqrt(2) + 2sqrt(3)  

                      ————————  

                                    6 

 

Or call it         sqrt(2)      sqrt(3)  

                      ———  +  ——— 

                          2              3  

.

 Jun 8, 2020
edited by Guest  Jun 8, 2020
 #2
avatar+36915 
0

                     *** deleted ***

 Jun 8, 2020
edited by ElectricPavlov  Jun 8, 2020
 #3
avatar+1262 
+23

\(\frac{3\sqrt2+2\sqrt3}{6}\) or (3√2+2√3)/6

 Jun 8, 2020

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