Question

How do you simplify `9xy^2sqrt(400x^4y^16`?

Answer 1

Simplify the square root term first
`sqrt(400x^4y^16) = sqrt(20^2*(x^2)^2*(y^8)^2) = 20x^2y^8`

Therefore
`9xy^2 sqrt(400x^4y^16) = (9xy^2)*(20x^2y^8)`

Combining similar components
`= 180 x^3 y^10`