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$begin mathsize 14px style fraction numerator open parentheses 5 square root of 3 plus 3 close parentheses open parentheses 6 plus square root of 3 close parentheses over denominator square root of 3 plus 1 end fraction equals... end style$

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 5 square root of 3 plus 3 close parentheses open parentheses 6 plus square root of 3 close parentheses over denominator square root of 3 plus 1 end fraction end cell equals cell fraction numerator 30 square root of 3 plus 18 plus 15 plus 3 square root of 3 over denominator square root of 3 plus 1 end fraction end cell row blank equals cell fraction numerator 33 square root of 3 plus 33 over denominator square root of 3 plus 1 end fraction end cell row blank equals cell fraction numerator 33 open parentheses square root of 3 plus 1 close parentheses over denominator square root of 3 plus 1 end fraction end cell row blank equals 33 row blank blank blank end table end style$