Rewrite expression to remove perfect square factors other than 1 in radicand. 3√27

The correct answer is: Final Answer:- ∴ The given expression can be written as 9√3 after removing all perfect square factors other than 1.

Step-by-step solution:-
Given expression = 3√27
∴ Given expression = 3 × √(3 × 3 × 3) ….......................... (Factorizing the term inside the radical)
∴ Given expression = 3  √(3  3) × √3 …..................... [Product property- √m × √n = √(mn)]
∴ Given expression = 3 × √(3)² × √3
∴ Given expression = 3 × (3)^2/2 × √3 ............................ [Power rule- ^m√(bⁿ) = b ^n/m]
∴ Given expression = 3 × (3)¹ × √3
∴ Given expression = 3 × 3 × √3
∴ Given expression = 9√3
Final Answer:-
∴ The given expression can be written as 9√3 after removing all perfect square factors other than 1.