`#16th10`

`A=(\sqrt{3}+\sqrt{2})^3`

`=(\sqrt{3})^3+3(\sqrt{3})^2\sqrt{2}+3\sqrt{3}(\sqrt{2})^2+(\sqrt{2})^3`

`=3+3\sqrt{18}+3\sqrt{12}+2`

`=3\sqrt{18}+3\sqrt{12}+5`

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`A=(\sqrt{2}+1)(\sqrt{4}-\sqrt{2}+1)`

`=(\sqrt{2})^3+1`

`=2+1`

`=3`

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`A=(\sqrt{5}+1)^3-3\sqrt{5}(\sqrt{5}+1)`

`=(\sqrt{5})^3+1^3+3\sqrt{5}(\sqrt{5}+1)-3\sqrt{5}(\sqrt{5}+1)`

`=5+1`

`=6`

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`A=(\root{3}{4}-\root{3}{2})^3+6\root{3}{2}(\root{3}{2}-1)`

`=(\root{3}{4})^3-3(\root{3}{4})^2\root{3}{2}+3\root{3}{4}(\root{3}{2})^2-(\root{3}{2})^3+6\root{3}{2}\root{3}{2}-6\root{3}{2}`

`=4-6\root{3}{4}+6\root{3}{2}-2+6\root{3}{4}-6\root{3}{2}`

`=2`