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Rasionalkan penyebut pecahan-pecachan berikut! 85​​

Pertanyaan

Rasionalkan penyebut pecahan-pecachan berikut!

square root of 5 over 8 end root 

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari merasionalkan square root of 5 over 8 end root adalah 1 fourth square root of 10.

Pembahasan

Ingat kembali aturan berikut.

  • square root of a squared cross times b end root equals a square root of b 
  • square root of a over b end root equals fraction numerator square root of a over denominator square root of b end fraction 
  • 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 square root of 5 over 8 end root end cell equals cell fraction numerator square root of 5 over denominator square root of 8 end fraction end cell row blank equals cell fraction numerator square root of 5 over denominator square root of 2 squared cross times 2 end root end fraction end cell row blank equals cell fraction numerator square root of 5 over denominator 2 square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 5 over denominator 2 square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 5 cross times 2 end root over denominator 2 cross times 2 end fraction end cell row blank equals cell fraction numerator square root of 10 over denominator 4 end fraction end cell row blank equals cell 1 fourth square root of 10 end cell end table 

Jadi, hasil dari merasionalkan square root of 5 over 8 end root adalah 1 fourth square root of 10.

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