\(\sqrt{4x^2}.\sqrt{\dfrac{9}{x^4y^2}}\\ =\sqrt{4x^2.\dfrac{9}{x^4y^2}}\\ =\sqrt{\dfrac{36}{x^2y^2}}\\ =\dfrac{\sqrt{36}}{\sqrt{x^2y^2}}\\ =\dfrac{6}{\left|xy\right|}\)
\(\sqrt{4x^2}.\sqrt{\dfrac{9}{x^4y^2}}=\dfrac{\sqrt{4x^2.9}}{\sqrt{x^4y^2}}\)
\(=\dfrac{\sqrt{36x^2}}{\sqrt{x^4y^2}}=\dfrac{\sqrt{36}}{\sqrt{x^2y^2}}=\dfrac{6}{\left|xy\right|}\)