S = (√3 + √12 + √27 + √48 + ............+ √300 ) / √75
S vine de Suma.
S = (1*√3 + 2*√3 + 3*√3 + 4*√3 + ......10*√3)/(25*√3)
Dam factor comun pe √3
S = √3( 1 + 2 + 3 + 4 + ......10) / (25*√3)
Simplificam fractia cu √3
S = (1+2+3+4+..........10)/25 = [10(10+1)/2] / 25 = (5 * 11)/25 = 55 / 25 = 11 / 5 = 2,2
