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Pertanyaan

Bentuk sederhana dari fraction numerator 4 square root of 2 plus square root of 50 over denominator 3 square root of 18 minus 6 square root of 2 end fraction adalah...

  1. 3

  2. 3 square root of 2

  3. 4

  4. 4 square root of 2

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Pada penjumlahan akar, berlaku a square root of b plus c square root of b equals open parentheses a plus c close parentheses square root of b,

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 4 square root of 2 plus square root of 50 over denominator 3 square root of 18 minus 6 square root of 2 end fraction end cell equals cell fraction numerator 4 square root of 2 plus square root of 25 cross times 2 end root over denominator 3 square root of 9 cross times 2 end root minus 6 square root of 2 end fraction end cell row blank equals cell fraction numerator 4 square root of 2 plus square root of 5 squared cross times 2 end root over denominator 3 square root of 3 squared cross times 2 end root minus 6 square root of 2 end fraction end cell row blank equals cell fraction numerator 4 square root of 2 plus 5 square root of 2 over denominator 3 cross times 3 square root of 2 minus 6 square root of 2 end fraction end cell row blank equals cell fraction numerator 9 square root of 2 over denominator 9 square root of 2 minus 6 square root of 2 end fraction end cell row blank equals cell fraction numerator 9 up diagonal strike square root of 2 end strike over denominator 3 up diagonal strike square root of 2 end strike end fraction end cell row blank equals 3 end table

Oleh karena itu, jawaban yang benar adalah A. 

 

 

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