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[tex] \sqrt{32} + \sqrt[3]{135} - \sqrt{96 } = 2 {}^{2} \sqrt{2} + 3 \sqrt[3]{5} - 4 \sqrt{6} = 4 \sqrt{2} + 3 \sqrt[3]{5} - 4 \sqrt{6} \\ [/tex]
[tex]\sqrt{32}+\sqrt[3]{135}-\sqrt{96} = \sqrt{16\cdot2} + \sqrt[3]{27\cdot5} - \sqrt{16\cdot6} =\\\\=\sqrt{16}\cdot\sqrt{2} + \sqrt[3]{27}\cdot\sqrt[3]{5}-\sqrt{16}\cdot\sqrt{6} =\\\\=4\sqrt{2}+3\sqrt[3]{5}-4\sqrt{6}[/tex]
