Sqrt75 + 2sqrt12-sqrt27 คืออะไร

ตอบ:

# sqrt75 + 2sqrt12-sqrt27 = 6sqrt3 #

คำอธิบาย:

# sqrt75 + 2sqrt12-sqrt27 #

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

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

= # 5sqrt3 + 2 × 2sqrt3-3sqrt3 #

= # 5sqrt3 + 4sqrt3-3sqrt3 #

= # (5 + 4-3) sqrt3 #

= # 6sqrt3 #