`e)`
`\sqrt{6+2\sqrt{5}}-`$\sqrt[]{6-2\sqrt{5}}$
`=\sqrt{5+2\sqrt{5}+1}-\sqrt{5-2\sqrt{5}+1}`
`=\sqrt{(\sqrt{5})^2+2\sqrt{5}+1}-``\sqrt{(\sqrt{5})^2-2\sqrt{5}+1}`
`=\sqrt{(\sqrt{5}+1)^2}-\sqrt{(\sqrt{5}-1)^2}`
`=|\sqrt{5}+1|-|\sqrt{5}-1|`
`=\sqrt{5}+1-\sqrt{5}+1`
`=2`
`d)`
`\sqrt{(7-\sqrt{5})^2}+\sqrt{5}+4`
`=|7-\sqrt{5}|+\sqrt{5}+4`
`=7-\sqrt{5}+\sqrt{5}+4`
`=11`