Ce este sqrt75 + 2sqrt12-sqrt27?

Răspuns:

# Sqrt75 + 2sqrt12-sqrt27 = 6sqrt3 #

# Sqrt75 + 2sqrt12-sqrt27 #

= #sqrt (3 x 5 x 5) + 2sqrt (2 x 2 x 3) -sqrt (3 x 3 x 3) #

= #sqrt (3 x pl (5 x 5)) + 2sqrt (pl (2 x 2) x 3) -sqrt (3 x ul (3 x 3)) #

= # 5sqrt3 + 2 x 2sqrt3-3sqrt3 #

= # 5sqrt3 + 4sqrt3-3sqrt3 #

= # (5 + 4-3) sqrt3 #

= # # 6sqrt3

8sqrt3 4sqrt3 + 2sqrt12 4sqrt3 + 2sqrt {4 * 3} 4sqrt3 + 2sqrt {2 ^ 2 * 3} 4sqrt3 + 2 * 2sqrt3 4sqrt3 + 4sqrt3 8sqrt3