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Tentukan hasil operasi akar bilangan berikut! f. 433​+334​+8131​+2332​

Pertanyaan

Tentukan hasil operasi akar bilangan berikut!

f. 4 cube root of 3 plus 3 cube root of 4 plus 81 to the power of 1 third end exponent plus 2 cube root of 32      

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari 4 cube root of 3 plus 3 cube root of 4 plus 81 to the power of 1 third end exponent plus 2 cube root of 32 adalah 7 cube root of 3 plus 7 cube root of 4.

Pembahasan

Ingat kembali sifat akar berikut!

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

Dengan rumus di atas, diperoleh perhitungan sebagai berikut.

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell 4 cube root of 3 plus 3 cube root of 4 plus 81 to the power of 1 third end exponent plus 2 cube root of 32 end cell equals cell 4 cube root of 3 plus 3 cube root of 4 plus cube root of 81 plus 2 cube root of 32 end cell row blank equals cell 4 cube root of 3 plus 3 cube root of 4 plus cube root of 27 cross times 3 end root plus 2 cube root of 8 cross times 4 end root end cell row blank equals cell 4 cube root of 3 plus 3 cube root of 4 plus cube root of 3 cubed cross times 3 end root plus 2 cube root of 2 cubed cross times 4 end root end cell row blank equals cell 4 cube root of 3 plus 3 cube root of 4 plus 3 cube root of 3 plus 2 cross times 2 cube root of 4 end cell row blank equals cell 4 cube root of 3 plus 3 cube root of 4 plus 3 cube root of 3 plus 4 cube root of 4 end cell row blank equals cell 4 cube root of 3 plus 3 cube root of 3 plus 3 cube root of 4 plus 4 cube root of 4 end cell row blank equals cell left parenthesis 4 plus 3 right parenthesis cube root of 3 plus left parenthesis 3 plus 4 right parenthesis cube root of 4 end cell row blank equals cell 7 cube root of 3 plus 7 cube root of 4 end cell end table end style   

Jadi, hasil dari 4 cube root of 3 plus 3 cube root of 4 plus 81 to the power of 1 third end exponent plus 2 cube root of 32 adalah 7 cube root of 3 plus 7 cube root of 4.

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Tentukan hasil operasi akar-akar bilangan berikut! g. 73108​+332​

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