`g) \sqrt{11+6\sqrt{2}}+\sqrt{11-6\sqrt{2}}`
`=\sqrt{9+2.3.\sqrt{2}+2}+\sqrt{9-2.3.\sqrt{2}+2}`
`=\sqrt{(\sqrt{2}+3)^2}+\sqrt{(3-\sqrt{2})^2}`
`=|\sqrt{2}+3|+|3-\sqrt{2}|`
`=\sqrt{2}+3+3-\sqrt{2}`
`=6`
`h) \sqrt{4+2\sqrt{3}}-\sqrt{7-4\sqrt{3}}`
`=\sqrt{3+2\sqrt{3}+1}-\sqrt{4-2.2.\sqrt{3}+3}`
`=\sqrt{(\sqrt{3}+1)^2}-\sqrt{(2-\sqrt{3})^2}`
`=|\sqrt{3}+1|-|2-\sqrt{3}|`
`=\sqrt{3}+1-2+\sqrt{3}`
`=2\sqrt{3}-1`
`i) \sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}`
`=(\sqrt{8-2\sqrt{7}}-\sqrt{8+2\sqrt{7}})/\sqrt{2}`
`=(\sqrt{7-2\sqrt{7}+1}-\sqrt{7+2\sqrt{7}+1})/\sqrt{2}`
`=(\sqrt{(\sqrt{7}-1)^2}-\sqrt{(\sqrt{7}+1)^2})/\sqrt{2}`
`=(|\sqrt{7}-1|-|\sqrt{7}+1|)/\sqrt{2}`
`=(\sqrt{7}-1-\sqrt{7}-1)/\sqrt{2}`
`=(-2)/\sqrt{2}`
`=-\sqrt{2}`
`k) \sqrt{94-42\sqrt{5}}-\sqrt{94+42\sqrt{5}}`
`=\sqrt{94-2.7.\sqrt{45}}-\sqrt{94+2.7.\sqrt{45}}`
`=\sqrt{45-2.7.\sqrt{45}+49}-\sqrt{45+2.7.\sqrt{45}+49}`
`=\sqrt{(3\sqrt{5}-7)^2}-\sqrt{(3\sqrt{5}+7)^2}`
`=|3\sqrt{5}-7|+|3\sqrt{5}+7|`
`=7-3\sqrt{5}+3\sqrt{5}+7`
`=14`
