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Bentuk rasional dari 12 − 8 2 ​ ​ 8 + 60 ​ ​ ​ adalah ....

Bentuk rasional dari  adalah ....

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  2. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 10 plus 2 square root of 6 plus 2 square root of 5 plus 2 square root of 3 over denominator 2 end fraction end cell end table end style 

  3. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 10 plus square root of 6 plus square root of 5 plus square root of 3 over denominator 4 end fraction end cell end table end style 

  4. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 square root of 10 plus 2 square root of 6 plus square root of 5 plus square root of 3 over denominator 4 end fraction end cell end table end style 

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

jawaban yang tepat adalah A.

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Pembahasan

Perhatikan bahwa Jadi bentuk rasional dari adalah . Dengan demikian, jawaban yang tepat adalah A.

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begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator square root of 8 plus square root of 60 end root over denominator square root of 12 minus 8 square root of 2 end root end fraction end cell equals cell fraction numerator square root of 8 plus square root of 4 cross times 15 end root end root over denominator square root of 12 minus left parenthesis 2 cross times 4 right parenthesis square root of 2 end root end fraction end cell row blank equals cell fraction numerator square root of 8 plus 2 square root of 15 end root over denominator square root of 12 minus 2 square root of 16 cross times 2 end root end root end fraction end cell row blank equals cell fraction numerator square root of left parenthesis 5 plus 3 right parenthesis plus 2 square root of 5 cross times 3 end root end root over denominator square root of 12 minus 2 square root of 32 end root end fraction end cell row blank equals cell fraction numerator square root of 5 plus square root of 3 over denominator square root of left parenthesis 8 plus 4 right parenthesis minus 2 square root of 8 cross times 4 end root end root end fraction end cell row blank equals cell fraction numerator square root of 5 plus square root of 3 over denominator square root of 8 minus 2 end fraction end cell row blank equals cell fraction numerator square root of 5 plus square root of 3 over denominator square root of 8 minus 2 end fraction cross times fraction numerator square root of 8 plus 2 over denominator square root of 8 plus 2 end fraction end cell row blank equals cell fraction numerator open parentheses square root of 5 plus square root of 3 close parentheses open parentheses square root of 8 plus 2 close parentheses over denominator open parentheses square root of 8 close parentheses squared minus 2 squared end fraction end cell row blank equals cell fraction numerator open parentheses square root of 5 cross times square root of 8 close parentheses plus open parentheses square root of 3 cross times square root of 8 close parentheses plus open parentheses square root of 5 cross times 2 close parentheses plus left parenthesis square root of 3 cross times 2 right parenthesis over denominator 4 end fraction end cell row blank equals cell fraction numerator square root of 40 plus square root of 24 plus 2 square root of 5 plus 2 square root of 3 over denominator 4 end fraction end cell row blank equals cell fraction numerator 2 square root of 10 plus 2 square root of 6 plus 2 square root of 5 plus 2 square root of 3 over denominator 4 end fraction end cell row blank equals cell fraction numerator 2 left parenthesis square root of 10 plus square root of 6 plus square root of 5 plus square root of 3 right parenthesis over denominator 4 end fraction end cell row blank equals cell fraction numerator square root of 10 plus square root of 6 plus square root of 5 plus square root of 3 over denominator 2 end fraction end cell end table end style 

Jadi bentuk rasional dari begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 8 plus square root of 60 end root over denominator square root of 12 minus 8 square root of 2 end root end fraction end cell end table end style adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 10 plus square root of 6 plus square root of 5 plus square root of 3 over denominator 2 end fraction end cell end table end style.

Dengan demikian, jawaban yang tepat adalah A.

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Zahra Fitria

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