Factor the given radicand using the product property of square roots. √11x⁵

The correct answer is: The given radicand can be factorised using product property as- x2√11x

Step-by-step solution:-
Given expression = √11x⁵
∴ Given expression = √(11 × x²⁺²⁺¹)
∴ Given expression = √(11 × x² × x² × x¹) ................................................... (aⁿ ⋅ a^m = a^n+m)
∴ Given expression = √11x × √(x² × x²) …........................ [Product property of radicals i.e. √m × √n = √(mn)]
∴ Given expression = √11x × √(x²)²
∴ Given expression = √11x × (x²)^2/2 .................................... [Power rule- ^m√(bⁿ) = b ^n/m]
∴ Given expression = √11x × (x²)1
∴ Given expression = √11x × x²
∴ Given expression = x²√11x
Final Answer:-
∴ The given radicand can be factorised using product property as- x²√11x