Sqrt75 + 2sqrt12-sqrt27이란 무엇입니까?

대답:

# sqrt75 + 2sqrt12-sqrt27 = 6sqrt3 #

설명:

# sqrt75 + 2sqrt12-sqrt27 #

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

= #sqrt (3 × ul (5 × 5)) + 2sqrt (ul (2x2) × 3) -sqrt (3 × ul (3 × 3)

= # 5sqrt3 + 2x2sqrt3-3sqrt3 #

= # 5sqrt3 + 4sqrt3-3sqrt3 #

= # (5 + 4-3) sqrt3 #

= # 6sqrt3 #