7.
[tex]a) \ \sqrt{7^{2}}+\sqrt{6}-(\sqrt{6})^{2} = 7+\sqrt{6}-6 = 1+\sqrt{6}\\\\b) \ \sqrt[3]{12^{3}}-(\sqrt{17})^{2}}-\sqrt{5} = 12-17-\sqrt{5} = -5-\sqrt{5}\\\\c) \ 3\sqrt{5^{2}}+2\sqrt{5}-2\sqrt[3]{(-5)^{3}} =3\cdot5 + 2\sqrt{5}-2\cdot(-5) =15+2\sqrt{5}+10 = 25+2\sqrt{5}\\\\d) \ -\sqrt[3]{5^{3}}-\sqrt[3]{7}-\sqrt[3]{-7}=-5-\sqrt[3]{7}-(-\sqrt[3]{7}) = -5-\sqrt[3]{7}+\sqrt[3]{7} = -5[/tex]
