`#tnvt`
`\sqrt{10+\sqrt{24}+\sqrt{40}+\sqrt{60}}-\sqrt{8+2\sqrt{15}}`
`=\sqrt{10+2\sqrt{6}+2\sqrt{10}+2\sqrt{15}}-\sqrt{5+2\sqrt{5.3}+3}`
`=\sqrt{2+3+5+2\sqrt{2}(\sqrt{3}+\sqrt{5})+2\sqrt{15}}-\sqrt{(\sqrt{5}+\sqrt{3})^2]`
`=\sqrt{3+5+2\sqrt{15}+2.(\sqrt{3}+\sqrt{5}).\sqrt{2}+2}-|\sqrt{5}+\sqrt{3}|`
`=\sqrt{(\sqrt{3]+\sqrt{5})^2+2.(\sqrt{3}+\sqrt{5}).\sqrt{2}+\sqrt{2}^2}-\sqrt{5}-\sqrt{3}`
`=\sqrt{(\sqrt{3}+\sqrt{5}+\sqrt{2})^2}-\sqrt{5}-\sqrt{3}`
`=|\sqrt{3}+\sqrt{5]+\sqrt{2}|-\sqrt{3}-\sqrt{5]`
`=\sqrt{3}+\sqrt{5}+\sqrt{2}-\sqrt{3}-\sqrt{5]`
`=\sqrt{2}`
