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Rasionalkan penyebut pecahan-pecachan berikut! 38​2​​

Pertanyaan

Rasionalkan penyebut pecahan-pecachan berikut!

fraction numerator square root of 2 over denominator 3 square root of 8 end fraction 

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari merasionalkan fraction numerator square root of 2 over denominator 3 square root of 8 end fraction adalah 1 over 6.

Pembahasan

Ingat kembali aturan berikut. 

  • square root of a cross times square root of b equals square root of a cross times b end root 
  • Bentuk akar fraction numerator square root of a over denominator square root of b end fraction dapat dirasionalkan dengan cara fraction numerator square root of a over denominator square root of b end fraction cross times fraction numerator square root of b over denominator square root of b end fraction 

Dari rumus di atas, diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator square root of 2 over denominator 3 square root of 8 end fraction end cell equals cell fraction numerator square root of 2 over denominator 3 square root of 8 end fraction cross times fraction numerator square root of 8 over denominator square root of 8 end fraction end cell row blank equals cell fraction numerator square root of 2 cross times 8 end root over denominator 3 cross times 8 end fraction end cell row blank equals cell fraction numerator square root of 16 over denominator 24 end fraction end cell row blank equals cell fraction numerator square root of 4 squared end root over denominator 24 end fraction end cell row blank equals cell up diagonal strike 4 to the power of 1 over up diagonal strike 24 to the power of 6 end cell row blank equals cell 1 over 6 end cell end table 

Jadi, hasil dari merasionalkan fraction numerator square root of 2 over denominator 3 square root of 8 end fraction adalah 1 over 6.

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