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Tentukan hasil perkalian akar bilangan berikut! g. 5 2 ​ ( 24 ​ − 3 18 ​ ) − 4 12 ​ ( 8 ​ )

Tentukan hasil perkalian akar bilangan berikut!
g.  

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E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

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hasil dari adalah .

hasil dari 5 square root of 2 left parenthesis square root of 24 minus 3 square root of 18 right parenthesis minus 4 square root of 12 open parentheses square root of 8 close parentheses adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 20 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 90 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 16 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 6 end cell end table.

Pembahasan

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

Ingat kembali sifat perkalian dan pengurangan akar berikut.

  • square root of a left parenthesis square root of b minus square root of c right parenthesis equals square root of a times square root of b minus 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 

Dengan rumus di atas diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 square root of 2 left parenthesis square root of 24 minus 3 square root of 18 right parenthesis minus 4 square root of 12 open parentheses square root of 8 close parentheses end cell row blank equals cell 5 square root of 2 times square root of 24 minus 5 square root of 2 times 3 square root of 18 minus 4 square root of 12 times 8 end root end cell row blank equals cell 5 square root of 2 times 24 end root minus 15 square root of 2 times 18 end root minus 4 square root of 96 end cell row blank equals cell 5 square root of 48 minus 15 square root of 36 minus 4 square root of 96 end cell row blank equals cell 5 square root of 4 squared times 3 end root minus 15 times 6 minus 4 square root of 4 squared times 6 end root end cell row blank equals cell 5 times 4 square root of 3 minus 90 minus 4 times 4 square root of 6 end cell row blank equals cell 20 square root of 3 minus 90 minus 16 square root of 6 end cell end table 

Jadi hasil dari 5 square root of 2 left parenthesis square root of 24 minus 3 square root of 18 right parenthesis minus 4 square root of 12 open parentheses square root of 8 close parentheses adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 20 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 90 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 16 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 6 end cell end table.

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