Rasionalkan penyebut pecahan-pecachan berikut! 85

Pertanyaan

Rasionalkan penyebut pecahan-pecachan berikut!

$\sqrt{\frac58}$

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari merasionalkan square root of 5 over 8 end root

adalah

Pembahasan

Ingat kembali aturan berikut.

$square root of a over b end root equals fraction numerator square root of a over denominator square root of b end fraction$
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 .