Answer:
The correct answer is third option
√5/(x²y)
Step-by-step explanation:
It is given an expression,√(55x⁷y⁶/11x¹¹y⁸)
Points to remember
Identities
xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ)
x⁻ⁿ = x¹/ⁿ
To find the equivalent expression
We have, √(55x⁷y⁶/11x¹¹y⁸)
By using above identity we can write,
√(55x⁷y⁶/11x¹¹y⁸) = √[(55/11) (x⁷/x¹¹) (y⁶/y⁸)]
= √[5x⁷⁻¹¹ y⁶⁻⁸]
= √[5x⁻⁴ y⁻²]
= √[5/x⁴y²]
= √5/(x²y)
Therefore the correct answer is third option
√5/(x²y)
