Question

Need answer fast with all the steps included please

Answer 1

Answer:

6n²√3

Step-by-step 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