$1)\sqrt{3}+\sqrt[3]{30}$

и

$\sqrt[3]{63};$ $\sqrt{3}>\sqrt{1},\sqrt{1}=1\Rightarrow \sqrt{3}>1$ $\sqrt[3]{30}>\sqrt[3]{27}, \sqrt[3]{27}=3\Rightarrow \sqrt[3]{30}>3$ $\sqrt{3}+\sqrt[3]{30}>4$ $\sqrt[3]{63}<\sqrt[3]{64}, \sqrt[3]{64}=4\Rightarrow \sqrt[3]{63}<4\Rightarrow \sqrt{3}+\sqrt[3]{30}>\sqrt[3]{63}.$ $2) \sqrt[3]{7}+\sqrt{15}$

и

$\sqrt{10}+\sqrt[3]{28}.$ $\sqrt[3]{7}<\sqrt[3]{8}, \sqrt[3]{8}=2 \Rightarrow \sqrt[3]{7}<2$ $\sqrt{15}<\sqrt{16}, \sqrt{16}=4 \Rightarrow \sqrt{15}<4$ $\sqrt[3]{7}+\sqrt{15}<4+2$ $\sqrt[3]{7}+\sqrt{15}<6$ $\sqrt{10}>\sqrt{9},\sqrt{9}=3\Rightarrow \sqrt{10}>3$ $\sqrt[3]{28}>\sqrt[3]{27},\sqrt[3]{27}=3\Rightarrow \sqrt[3]{28}>3$ $\sqrt{10}+\sqrt[3]{28}>3+3$ $\sqrt{10}+\sqrt[3]{28}>6$ $\sqrt[3]{7}+\sqrt{15}<\sqrt{10}+\sqrt[3]{28}.$