Rasionalkan penyebut pecahan-pecahan berikut! 35​5​+410​​

Pertanyaan

Rasionalkan penyebut pecahan-pecahan berikut!

fraction numerator square root of 5 plus 4 square root of 10 over denominator 3 square root of 5 end fraction

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

pecahan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 5 plus 4 square root of 10 over denominator 3 square root of 5 end fraction end cell end table dapat dirasionalkan penyebutnya menjadi table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 plus 4 square root of 2 over denominator 3 end fraction end cell end table.

Pembahasan

Untuk merasionalkan penyebut pecahan berbentuk fraction numerator a over denominator k square root of b end fraction dapat dilakukan dengan rumus dan prosedur sebagai berikut.

fraction numerator a over denominator k square root of b end fraction equals fraction numerator a over denominator k square root of b end fraction cross times fraction numerator square root of b over denominator square root of b end fraction 

Sehingga dapat dirasionalkan penyebut pecahan  fraction numerator square root of 5 plus 4 square root of 10 over denominator 3 square root of 5 end fraction sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator square root of 5 plus 4 square root of 10 over denominator 3 square root of 5 end fraction end cell equals cell fraction numerator square root of 5 plus 4 square root of 10 over denominator 3 square root of 5 end fraction cross times fraction numerator square root of 5 over denominator square root of 5 end fraction end cell row blank equals cell fraction numerator square root of 5 cross times 5 end root plus 4 square root of 10 cross times 5 end root over denominator 3 square root of 5 cross times 5 end root end fraction end cell row blank equals cell fraction numerator square root of 25 plus 4 square root of 50 over denominator 3 square root of 25 end fraction end cell row blank equals cell fraction numerator 5 plus 4 square root of 25 cross times 2 end root over denominator 3 cross times 5 end fraction end cell row blank equals cell fraction numerator 5 plus 4 cross times 5 square root of 2 over denominator 15 end fraction end cell row blank equals cell fraction numerator 5 plus 20 square root of 2 over denominator 15 end fraction end cell row blank equals cell fraction numerator 1 plus 4 square root of 2 over denominator 3 end fraction end cell end table  

Dengan demikian, pecahan table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 5 plus 4 square root of 10 over denominator 3 square root of 5 end fraction end cell end table dapat dirasionalkan penyebutnya menjadi table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 plus 4 square root of 2 over denominator 3 end fraction end cell end table.

43

0.0 (0 rating)

Pertanyaan serupa

Rasionalkan penyebut pecahan-pecachan berikut! 415​3​​

36

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