+0

+2
104
1
+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
+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