+0  
 
+2
104
1
avatar+252 

If we write \(\sqrt{2}+\frac{1}{\sqrt{2}} + \sqrt{3} + \frac{1}{\sqrt{3}}\) in the form \(\dfrac{a\sqrt{2} + b\sqrt{3}}{c}\) such that a, b, c and d are positive integers and c is as small as possible, then what is \(a+b+c\)?

 Jul 20, 2020
 #1
avatar+28021 
0

(1) sqrt2  + 1/2 sqrt2      +  (1) sqrt3  + 1/3 sqrt3 =

3/2 * sqrt2      + 4/3 * sqrt 3 =

 

9 sqrt2  + 8 sqrt 3

             6

 Jul 20, 2020

23 Online Users

avatar
avatar
avatar