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2 10 ​ 24 180 ​ + 32 60 ​ ​ ÷ 2 12 ​ = …

 

  1. begin mathsize 14px style 4 square root of 6 plus 3 square root of 2 end style 

  2. begin mathsize 14px style 3 square root of 6 plus 4 square root of 2 end style 

  3. begin mathsize 14px style 6 square root of 3 plus 4 square root of 2 end style 

  4. begin mathsize 14px style 8 square root of 6 plus 6 square root of 2 end style 

  5. begin mathsize 14px style 6 square root of 6 plus 8 square root of 2 end style 

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begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 24 square root of 180 plus 32 square root of 60 over denominator 2 square root of 10 end fraction divided by 2 square root of 12 end cell row blank equals cell open parentheses 12 square root of 18 plus 16 square root of 6 close parentheses divided by 2 square root of 12 end cell row blank equals cell fraction numerator 12 square root of 18 plus 16 square root of 6 over denominator 2 square root of 12 end fraction end cell row blank equals cell fraction numerator 12 square root of 18 over denominator 2 square root of 12 end fraction plus fraction numerator 16 square root of 6 over denominator 2 square root of 12 end fraction end cell row blank equals cell fraction numerator 6 square root of 3 over denominator square root of 2 end fraction plus fraction numerator 8 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator 6 square root of 3 plus 8 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator 6 square root of 3 plus 8 over denominator square root of 2 end fraction times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator 6 square root of 6 plus 8 square root of 2 over denominator 2 end fraction end cell row blank equals cell 3 square root of 6 plus 4 square root of 2 end cell end table end style 

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