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2014-06-02T16:10:52+03:00
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