Roboguru
SD

Rasionalkan penyebut pecahan-pecachan berikut! 24​5​​

Pertanyaan

Rasionalkan penyebut pecahan-pecachan berikut!

fraction numerator square root of 5 over denominator square root of 24 end fraction 

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari merasionalkan fraction numerator square root of 5 over denominator square root of 24 end fraction adalah 1 over 12 square root of 30.

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 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 5 over denominator square root of 24 end fraction end cell equals cell fraction numerator square root of 5 over denominator square root of 2 squared cross times 6 end root end fraction end cell row blank equals cell fraction numerator square root of 5 over denominator 2 square root of 6 end fraction end cell row blank equals cell fraction numerator square root of 5 over denominator 2 square root of 6 end fraction cross times fraction numerator square root of 6 over denominator square root of 6 end fraction end cell row blank equals cell fraction numerator square root of 5 cross times 6 end root over denominator 2 cross times 6 end fraction end cell row blank equals cell fraction numerator square root of 30 over denominator 12 end fraction end cell row blank equals cell 1 over 12 square root of 30 end cell end table 

Jadi, hasil dari merasionalkan fraction numerator square root of 5 over denominator square root of 24 end fraction adalah 1 over 12 square root of 30.

27

0.0 (0 rating)

Pertanyaan serupa

Bentuk rasional dari 48​36​+5​​ adalah ....

109

5.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia