`(13-4\sqrt[3])(7+4\sqrt[3])-8\sqrt[20+2\sqrt[43+\sqrt[24\sqrt[3]]]]`
`=91+52\sqrt[3]-28\sqrt[3]-48-8\sqrt[(13-4\sqrt[3])+(7+4\sqrt[3])+2\sqrt[(13-4\sqrt[3])(7+4\sqrt[3])]]`
`=43+24\sqrt[3]-8\sqrt[(\sqrt[13-4sqrt[3]]+\sqrt[7+4\sqrt[3]])^2]`
`=43+24\sqrt[3]-8(\sqrt[13-4sqrt[3]]+\sqrt[7+4\sqrt[3]))`
`=43+24\sqrt[3]-8(\sqrt[(2\sqrt[3]-1)^2]+\sqrt[(2+\sqrt[3])^2))`
`=43+24\sqrt[3]-8(2\sqrt[3]-1+2+\sqrt[3])`
`=43+24\sqrt[3]-8(3\sqrt[3]+1)`
`=43+24\sqrt[3]-24\sqrt[3]-8`
`=43-8=35`