RoboguruRoboguru
SD

Rasionalkan 4−22​1​

Pertanyaan

Rasionalkan begin mathsize 14px style 4 minus fraction numerator 1 over denominator 2 square root of 2 end fraction end style 

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

bentuk rasional dari begin mathsize 14px style 4 minus fraction numerator 1 over denominator 2 square root of 2 end fraction end style adalah begin mathsize 14px style 4 minus fraction numerator square root of 2 over denominator 4 end fraction end style.

Pembahasan

Diperhatikan bahwa

begin mathsize 14px style 4 minus fraction numerator 1 over denominator 2 square root of 2 end fraction equals fraction numerator 8 square root of 2 minus 1 over denominator 2 square root of 2 end fraction end style

Selanjutnya bentuk begin mathsize 14px style fraction numerator 8 square root of 2 minus 1 over denominator 2 square root of 2 end fraction end style dapat dirasionalkan dengan mengalikan pembilang dan penyebut dengan sekawan dari begin mathsize 14px style 2 square root of 2 end style, yaitu begin mathsize 14px style square root of 2 end style. Sehingga diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 8 square root of 2 minus 1 over denominator 2 square root of 2 end fraction end cell equals cell fraction numerator 8 square root of 2 minus 1 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 open parentheses 8 square root of 2 minus 1 close parentheses times square root of 2 over denominator 2 times open parentheses square root of 2 close parentheses squared end fraction end cell row blank equals cell fraction numerator 16 minus square root of 2 over denominator 4 end fraction end cell row blank equals cell 4 minus fraction numerator square root of 2 over denominator 4 end fraction end cell end table end style 


Jadi, bentuk rasional dari begin mathsize 14px style 4 minus fraction numerator 1 over denominator 2 square root of 2 end fraction end style adalah begin mathsize 14px style 4 minus fraction numerator square root of 2 over denominator 4 end fraction end style.

9

0.0 (0 rating)

Pertanyaan serupa

Bentuk 2​6​ dirasionalkan penyebutnya adalah ...

32

0.0

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