Perform the indicated operations and simplify Squareroot 80x

Perform the indicated operations and simplify. Squareroot 80x^9Y middot Squareroot 5x^2Y

(80x^9y)^(1/2)*(5x^2y)^1/2

applying radical property

sqrt (a) * sqrt (b) = sqrt (a*b)

(80x^9y)^(1/2)*(5x^2y)^1/2 = sqrt ( 80*5 * x^11* y^2)

= sqrt ( 400 * x^11 * y^2)

= sqrt 400 = 20

sqrt x^11 = x^5 * sqrt x

sqrt y^2 = y

therefore , it becomes

20 x^5 y sqrt (x)