Što je sqrt75 + 2sqrt12-sqrt27?

Odgovor:

# Sqrt75 + 2sqrt12-sqrt27 = 6sqrt3 #

Obrazloženje:

# Sqrt75 + 2sqrt12-sqrt27 #

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

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

= # 5sqrt3 + 2 × 2sqrt3-3sqrt3 #

= # 5sqrt3 + 4sqrt3-3sqrt3 #

= # (5 + 4-3) sqrt3 #

= # 6sqrt3 #