\(\sqrt{75x^3y^6}\sqrt{\dfrac{x}{3y^4}}=\sqrt{25x^4y^2}=5\left|x^2\right|.\left|y\right|=-5x^2y\)
\(\sqrt{250x\left(y+1\right)}.\sqrt{\dfrac{x^3}{10\left(y+1\right)^3}}=\sqrt{\dfrac{25x^4}{\left(y+1\right)^2}}=\dfrac{5x^2}{\left|y+1\right|}=\dfrac{5x^2}{y+1}\)
\(\sqrt{28x^3\left(y-1\right)}.\sqrt{\dfrac{x}{7\left(y-1\right)^3}}=\sqrt{\dfrac{4x^4}{\left(y-1\right)^2}}=\dfrac{2x^2}{\left|y-1\right|}=\dfrac{2x^2}{y-1}\)
\(\sqrt{12\left(x-1\right)^3y^6}.\sqrt{\dfrac{x-1}{3y^4}}=\sqrt{4\left(x-1\right)^4y^2}=2\left(x-1\right)^2.\left|y\right|=-2\left(x-1\right)^2y\)
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