`1)` Căn thức có nghĩa `<=>1/2x-3 >= 0`
`<=>1/2x >= 3<=>x >= 6`
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`2)`
`a)\sqrt{12}+\sqrt{48}-\sqrt{27}+3\sqrt{47}`
`=2\sqrt{3}+4\sqrt{3}-3\sqrt{3}+3\sqrt{47}`
`=3\sqrt{3}+3\sqrt{47}`
~~~~~~~~~~~~
`b)3/2\sqrt{6}+\sqrt{2/3}-5\sqrt{3/2}`
`=3/2\sqrt{6}+1/3\sqrt{6}-5/2\sqrt{6}`
`=-2/3\sqrt{6}`
~~~~~~~~~~~~
`c)\root[3]{-125}+\root[3]{343}-\root[3]{64}`
`=-5+7-4`
`=-2`