(2ab^2)^(1/2) * (6a^3b^2)^(1/2)

= (12 * a^4 * b^4)^(1/2)

= 2 * (3)^(1/2) * a^2 * b^2

= 2*sqrt(3) * a^2 * b^2

Answer: (2ab^2)^(1/2) * (6a^3b^2)^(1/2) = 2 * sqrt(3) * a^2 * b^2

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