Answer:
6n²√3
Explanation:
2√3n•√9n³
The above expression can be simplified as follow:
Recall
√9 = 3
2√3n•√9n³ = 2√3n × 3√n³
Recall
m√a × n√b = mn√(a × b)
Thus,
2√3n × 3√n³ = (2×3) √(3n × n³)
2√3n × 3√n³ = 6√3n⁴
Recall:
√aᵇ = (aᵇ)¹/² = aᵇ/²
√n⁴ = n⁴/²
√n⁴ = n²
Thus,
6√3n⁴ = 6n²√3
Therefore,
2√3n•√9n³ = 6n²√3