What is an equivalent expression for √25x³.

The correct answer is: ∴ 5x × √x is an equivalent of the given expression √25x3.

Step-by-step solution:-
Given expression = √(25x³)
∴ Given expression = √(5 × 5 × x × x × x) ….................................... (Factorizing the given expression)
∴ Given expression = √(5 × 5) × √(x × x) × √x ….......................... [Product property- √m × √n = √(mn)]
∴ Given expression = √(5)² × √(x)² × √x
∴ Given expression = (5)^2/2 × (x)^2/2 × √x .................................... [Power rule- ^m√(bⁿ) = b ^n/m]
∴ Given expression = (5)¹ × (x)¹ × √x
∴ Given expression = 5 × x × √x
∴ Given expression = 5x × √x
Final Answer:-
∴ 5x × √x is an equivalent of the given expression √25x³.