Question 1091826
Express sqrt3/ 6-sqrt3 in the form p+q(sqrt3) where p and q are rational 
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You have to make the DEN rational, get rid of the radical.
Multiply NUM and DEN by the conjugate of the DEN, 6+sqrt(3)
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{{{sqrt(3)/(6-sqrt(3))}}}
= {{{sqrt(3)*(6+sqrt(3))/((6-sqrt(3))*(6+sqrt(3)))}}}
= {{{(6sqrt(3) + 3)/(36 - 3)}}}
= {{{(6sqrt(3) + 3)/33}}}
= {{{(2sqrt(3) + 1)/11}}}
= {{{(1/11) + (2/11)*sqrt(3)}}}
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PS  Use parentheses.
Express sqrt3/ 6-sqrt3 ----> Express sqrt3/(6-sqrt3)