Answer:
![35√(x^2y)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9d73tk1a3mp4710quykby4uwsupmew5sc7.png)
Explanation:
To solve this exercise you must apply the proccedure shown below:
- Apply multiplication, as following:
![4(5√(x^2y))+3(5√(x^2y))=20√(x^2y)+15√(x^2y)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1nrzelm5rte9pwowwlhyhn57u778g2ghvk.png)
- As you can see, the index of the radical in the first term is 2 and the index of the radical in the second term is also 2.
- You can observe that the radicands are the same.
- Therefoe, as the index of the first radical is equal to the index of the second radical and the radicands are the same, you can make the addition. Then, you obtain:
![35√(x^2y)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9d73tk1a3mp4710quykby4uwsupmew5sc7.png)