Hvad er sqrt75 + 2sqrt12-sqrt27?

Svar:

# Sqrt75 + 2sqrt12-sqrt27 = 6sqrt3 #

Forklaring:

# Sqrt75 + 2sqrt12-sqrt27 #

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

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

= # 5sqrt3 + 2 × 2sqrt3-3sqrt3 #

= # 5sqrt3 + 4sqrt3-3sqrt3 #

= # (5 + 4-3) sqrt3 #

= # 6sqrt3 #