Final answer:
To simplify the given sum, we can simplify each term individually and then combine them.
Step-by-step explanation:
To simplify the given sum √x²y³ +2√x³y⁴+xy√y, we can first simplify each term individually.
- The first term, √x²y³, can be simplified as x^(2/2)y^(3/2) = xy^(3/2).
- The second term, 2√x³y⁴, can be simplified as 2x^(3/2)y^(4/2) = 2xy².
- The third term, xy√y, remains as it is.
Combining these simplified terms, we get xy^(3/2) + 2xy² + xy√y.
Therefore, the sum is xy^(3/2) + 2xy² + xy√y.