\(\sqrt{12\left(a-2\right)}\sqrt{\dfrac{a-2}{3}}=\sqrt{4\left(a-2\right)^2}=2\left|a-2\right|=2\left(a-2\right)\)
\(\sqrt{50\left(a+2\right)}.\sqrt{\dfrac{\left(a+2\right)^3}{2}}=\sqrt{25\left(a+2\right)^4}=5\left(a+2\right)^2\)
\(\sqrt{\dfrac{1}{5}\left(2a-1\right)}.\sqrt{\dfrac{\left(2a-1\right)^3}{5}}=\sqrt{\dfrac{1}{25}\left(2a-1\right)^4}=\dfrac{1}{5}\left(2a-1\right)^2\)
\(\sqrt{\dfrac{48\left(a-5\right)}{b}}.\sqrt{\dfrac{b^3\left(a-5\right)}{3}}=\sqrt{16\left(a-5\right)^2b^2}=4\left|a-5\right|.\left|b\right|=4b\left(a-5\right)\)
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