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Bentuk sederhana dari bentuk akar 4−15​75​+23​​+4+15​12​−35​​ adalah ....

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Bentuk sederhana dari bentuk akar begin mathsize 14px style fraction numerator square root of 75 plus 2 square root of 3 over denominator 4 minus square root of 15 end fraction plus fraction numerator square root of 12 minus 3 square root of 5 over denominator 4 plus square root of 15 end fraction end style adalah ....

  1. begin mathsize 14px style 20 square root of 3 plus 27 square root of 5 end style 

  2. begin mathsize 14px style 25 square root of 3 plus 30 square root of 5 end style 

  3. begin mathsize 14px style 25 square root of 5 plus 30 square root of 3 end style 

  4. begin mathsize 14px style 27 square root of 3 plus 20 square root of 5 end style 

  5. begin mathsize 14px style 27 square root of 3 plus 30 square root of 5 end style 

F. Khansabyla

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

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Pembahasan

  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank equals cell fraction numerator left parenthesis square root of 75 plus 2 square root of 3 right parenthesis left parenthesis 4 plus square root of 15 right parenthesis plus left parenthesis square root of 12 minus 3 square root of 5 right parenthesis left parenthesis 4 minus square root of 15 right parenthesis over denominator 16 minus 15 end fraction end cell row blank equals cell open parentheses 4 square root of 75 plus square root of 1.125 end root plus 8 square root of 3 plus 2 square root of 45 close parentheses plus end cell row blank blank cell open parentheses 4 square root of 12 minus square root of 180 minus 12 square root of 5 plus 3 square root of 75 close parentheses end cell row blank equals cell 4 times 5 square root of 3 plus 15 square root of 5 plus 8 square root of 3 plus 6 square root of 5 plus end cell row blank blank cell open parentheses 8 square root of 3 minus 6 square root of 5 minus 12 square root of 5 plus 15 square root of 3 close parentheses end cell row blank equals cell 28 square root of 3 plus 21 square root of 5 plus 23 square root of 3 minus 18 square root of 5 end cell row blank equals cell 51 square root of 3 plus 3 square root of 5 end cell end table end style  

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