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Pertanyaan

Tentukan hasil pembagian akar-akar bilangan berikut!

e. 6 square root of 90 divided by 3 square root of 2     

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari 6 square root of 90 divided by 3 square root of 2 equals 6 square root of 5.

Pembahasan

Ingat kembali sifat pembagian akar berikut!

Jika a space dan space b sebarang bilangan bulat, maka berlaku:

square root of a divided by square root of b equals square root of a divided by b end root  

Dengan rumus di atas, diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell 6 square root of 90 divided by 3 square root of 2 end cell equals cell left parenthesis 6 divided by 3 right parenthesis left parenthesis square root of 90 divided by square root of 2 right parenthesis end cell row blank equals cell 2 square root of 90 divided by 2 end root end cell row blank equals cell 2 square root of 45 end cell row blank equals cell 2 cross times square root of 9 cross times 5 end root end cell row blank equals cell 2 cross times 3 square root of 5 end cell row blank equals cell 6 square root of 5 end cell row blank blank blank end table       

Jadi, hasil dari 6 square root of 90 divided by 3 square root of 2 equals 6 square root of 5.

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