Răspuns:
Explicație pas cu pas:
Prima paranteza:
1/1 -1/2 +1/2 -1/3 +...+1/24 -1/25 = 1 -1/25
A doua paranteza:
1/25 -1/26 + 1/25 -1/27 +...+1/49 -1/50 =
1/25 -1/50 = 1/50
1/94( 1-1/25 -1/50) = 1/94 =1/94(50-2-1)/50 =
1/94(47/50) = 1/(2*50) = 1/100
x = √(1/100 = 1/10 rational
