$a)4\sqrt{5}-10\sqrt{5}+6\sqrt{5}=-6\sqrt{5}+6\sqrt{5}=0$

$b)10\sqrt{\frac{1}{3}}+4\sqrt{\frac{1}{3}}-11\sqrt{\frac{1}{3}}+3=14\sqrt{\frac{1}{3}}-11\sqrt{\frac{1}{3}}+3=3\sqrt{\frac{1}{3}}+3=3\left(\sqrt{\frac{1}{3}}+1\right)$

$c)4\sqrt[3]{2}-10\sqrt[3]{2}+\sqrt[3]{2}+4=-6\sqrt[3]{2}+\sqrt[3]{2}+4=-5\sqrt[3]{2}+4$

$d)-2\sqrt[3]{\frac{1}{5}}-10\sqrt[3]{\frac{1}{5}}+4\sqrt[3]{\frac{1}{5}}+3=-12\sqrt[3]{\frac{1}{5}}+4\sqrt[3]{\frac{1}{5}}+3=-8\sqrt[3]{\frac{1}{5}}+3$