1/2+root 3 + 2/2- root 3 = p+qroot3
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1/2+ (√3+2)/2-√3 = p + q √3
LHS = (1+√3+2-2√3)/2
( we should take LCM of denominator of LHS
in this way we'll get above step)
LHS = (3-√3)/2
therefore p= 3/2 and q= -1/2
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