Roboguru

Bentuk sederhana dari adalah ....

Pertanyaan

Bentuk sederhana dari fraction numerator 2 over denominator square root of 12 minus square root of 18 end fractionadalah ....

Pembahasan Soal:

Untuk menyederhanakan bentuk akar, maka kalikan dengan akar sekawan :

left parenthesis a plus b right parenthesis left parenthesis a minus b right parenthesis equals a squared minus b squared

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 over denominator square root of 12 minus square root of 18 end fraction cross times fraction numerator square root of 12 plus square root of 18 over denominator square root of 12 plus square root of 18 end fraction end cell equals cell fraction numerator 2 open parentheses square root of 12 plus square root of 18 close parentheses over denominator open parentheses square root of 12 close parentheses squared minus open parentheses square root of 18 close parentheses squared end fraction end cell row blank equals cell fraction numerator 2 square root of 12 plus 2 square root of 18 over denominator 12 minus 18 end fraction end cell row blank equals cell fraction numerator 2 square root of 4 cross times 3 end root plus 2 square root of 9 cross times 2 end root over denominator negative 6 end fraction end cell row blank equals cell fraction numerator 2 square root of 2 squared cross times 3 end root plus 2 square root of 3 squared cross times 2 end root over denominator negative 6 end fraction end cell row blank equals cell fraction numerator 2 cross times 2 square root of 3 plus 2 cross times 3 square root of 2 over denominator negative 6 end fraction end cell row blank equals cell fraction numerator 4 square root of 3 plus 6 square root of 2 over denominator negative 6 end fraction end cell row blank equals cell negative 4 over 6 square root of 3 minus 6 over 6 square root of 2 end cell row blank equals cell negative 2 over 3 square root of 3 minus square root of 2 end cell end table

Jadi, bentuk sederhana dari fraction numerator 2 over denominator square root of 12 minus square root of 18 end fractionadalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 2 over 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 2 end cell end table.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Juni 2021

RUANGGURU HQ

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

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved