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

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Answer 1 · 2015-04-07T19:52:34

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
$= 180 x^3 y^10$

How do you simplify 9xy^2sqrt(400x^4y^169xy^2sqrt(400x^4y^16?