Iklan

Iklan

Pertanyaan

Tentukan hasil perkalian akar bilangan berikut! b. 2 ​ ( 6 ​ + 2 4 4 ​ )

Tentukan hasil perkalian akar bilangan berikut!
b.   

Iklan

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari adalah .

hasil dari square root of 2 left parenthesis square root of 6 plus 2 fourth root of 4 right parenthesis adalah 2 square root of 3 plus 4.

Iklan

Pembahasan

Ingat kembali sifat perkalian dan penjumlahan akar berikut. Dengan rumus di atas diperoleh perhitungan sebagai berikut. Jadi, hasil dari adalah .

Ingat kembali sifat perkalian dan penjumlahan akar berikut.

  • square root of a left parenthesis square root of b plus square root of c right parenthesis equals square root of a times square root of b plus square root of a times square root of c  
  • square root of a times square root of b equals square root of a times b end root 
  • square root of a squared times b end root equals a square root of b 
  • m-th root of a to the power of n end root equals a to the power of n over m end exponent 
  • a to the power of n times a to the power of m equals a to the power of n plus m end exponent 

Dengan rumus di atas diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 2 left parenthesis square root of 6 plus 2 fourth root of 4 right parenthesis end cell equals cell square root of 2 times square root of 6 plus square root of 2 times 2 fourth root of 4 end cell row blank equals cell square root of 2 times 6 end root plus 2 times square root of 2 times fourth root of 2 squared end root end cell row blank equals cell square root of 12 plus 2 times 2 to the power of 1 half end exponent times 2 to the power of 2 over 4 end exponent end cell row blank equals cell square root of 2 squared times 3 end root plus 2 times 2 to the power of 1 half plus 2 over 4 end exponent end cell row blank equals cell 2 square root of 3 plus 2 times 2 to the power of 1 half plus 1 half end exponent end cell row blank equals cell 2 square root of 3 plus 2 times 2 to the power of 1 end cell row blank equals cell 2 square root of 3 plus 2 times 2 end cell row blank equals cell 2 square root of 3 plus 4 end cell end table 

Jadi, hasil dari square root of 2 left parenthesis square root of 6 plus 2 fourth root of 4 right parenthesis adalah 2 square root of 3 plus 4.

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

37

Iklan

Iklan

Pertanyaan serupa

Tentukan hasil perkalian akar bilangan berikut! d. 4 2 ​ ( 24 ​ − 4 4 ​ )

145

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

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia