Answer:
5√(5xy^(3/2))
Step-by-step explanation:
The square root of 125xy³ can be simplified as follows:
√(125xy³) = √(25 * 5 * x * y³)
Now, we can take the square root of each factor:
√(25 * 5 * x * y³) = √(25) * √(5) * √(x) * √(y³)
Simplifying further:
√(25) = 5
√(5) remains as it is
√(x) remains as it is
√(y³) = y^(3/2)
Putting it all together:
5 * √(5) * √(x) * y^(3/2)
So, the simplified expression is:
5√(5xy^(3/2))
