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Jika = 3 2 ​ 15 ​ dan Q = 2 2 ​ − 3 5 3 ​ ​ ,maka P × Q adalah….

Jika ,  maka × Q adalah….

  1. 1 half open parentheses 100 square root of 3 minus 75 square root of 6 close parentheses  

  2. 1 half open parentheses 75 square root of 3 minus 100 square root of 6 close parentheses  

  3. negative 1 half open parentheses 75 square root of 3 plus 100 square root of 6 close parentheses  

  4. negative 1 half open parentheses 100 square root of 3 plus 75 square root of 6 close parentheses  

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Pembahasan

P cross times Q equals fraction numerator 15 over denominator 3 square root of 2 end fraction cross times fraction numerator 5 square root of 3 over denominator 2 square root of 2 minus 3 end fraction equals fraction numerator 15 cross times 5 square root of 3 over denominator 3 square root of 2 open parentheses 2 square root of 2 minus 3 close parentheses end fraction equals fraction numerator 75 square root of 3 over denominator left parenthesis 6 cross times 2 right parenthesis minus 9 square root of 2 end fraction equals fraction numerator 75 square root of 3 over denominator 12 minus 9 square root of 2 end fraction equals fraction numerator 75 square root of 3 over denominator 12 minus 9 square root of 2 end fraction cross times fraction numerator 12 plus 9 square root of 2 over denominator 12 plus 9 square root of 2 end fraction equals fraction numerator open parentheses 75 square root of 3 close parentheses open parentheses 12 plus 9 square root of 2 close parentheses over denominator open parentheses 12 close parentheses squared minus open parentheses 9 square root of 2 close parentheses squared end fraction equals fraction numerator 900 square root of 3 plus 675 square root of 6 over denominator 144 minus open parentheses 81 cross times 2 close parentheses end fraction equals fraction numerator 900 square root of 3 plus 675 square root of 6 over denominator 144 minus 162 end fraction equals fraction numerator 900 square root of 3 plus 675 square root of 6 over denominator negative 18 end fraction equals negative fraction numerator 900 square root of 3 plus 675 square root of 6 over denominator 18 end fraction equals negative fraction numerator 100 square root of 3 plus 75 square root of 6 over denominator 2 end fraction equals negative 1 half left parenthesis 100 square root of 3 plus 75 square root of 6 right parenthesis  

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