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`a,5\sqrt{12}+4\sqrt{27}-6\sqrt{48}`

`=10\sqrt{3}+12\sqrt{3}-24\sqrt{3}`

`=-2\sqrt{3}`

`b,\sqrt{(1-\sqrt{3})^2}-3\sqrt{12}+(5\sqrt{33})/(\sqrt{11})+4`

`=1-\sqrt{3}-6\sqrt{3}+5\sqrt{3}+4`

`=5-2\sqrt{3}`

`c,(\sqrt{14}-\sqrt{7})/(\sqrt{2}-1)`

`=(\sqrt{7}.(\sqrt{2}-1))/(\sqrt{2}-1)`

`=\sqrt{7}`

`d,1/(\sqrt{2}-1)-2/(\sqrt{2}+1)+7/(\sqrt{2}+3)`

`=(\sqrt{2}+1)/(2-1)-(2\sqrt{2}-2)/(2-1)+(7\sqrt{2}-21)/(2-9)`

`=\sqrt{2}+1-2\sqrt{2}+2+(7.(\sqrt{2}-3)/(-7)`

`=-\sqrt{2}+3-\sqrt{2}+3`

`=-2\sqrt{2}+6`