`#tnvt`
`\sqrt{8}-3\sqrt{32}+\sqrt{72}`
`=\sqrt{4}.\sqrt{2}-3.\sqrt{16}.\sqrt{2}+\sqrt{36}.\sqrt{2}`
`=2\sqrt{2}-12\sqrt{2}+6\sqrt{2}`
`=-4\sqrt{2}`
$\\$
`\sqrt{45}-15\sqrt{1/5}+\frac{\sqrt{5]-5}{\sqrt{5}}`
`=\sqrt{9}.\sqrt{5}-\frac{3\sqrt{5}.\sqrt{5}}{\sqrt{5}}+\frac{\sqrt{5}(1-\sqrt{5})}{\sqrt{5}}`
`=3\sqrt{5}-3\sqrt{5}+1-\sqrt{5}`
`=1-\sqrt{5}`
$\\$
`\frac{11}{2-\sqrt{3}}+\sqrt{7+4\sqrt{3}}-24`
`=\frac{11(2+\sqrt{3})}{(2+\sqrt{3})(2-\sqrt{3})}+\sqrt{4+2.2.\sqrt{3}+3}-24`
`=\frac{11(2+\sqrt{3})}{4-3}+\sqrt{(2+\sqrt{3})^2}-24`
`=11(2+\sqrt{3})+|2+\sqrt{3}|-24`
`=22+11\sqrt{3}+2+\sqrt{3}-24`
`=12\sqrt{3}`
