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Tentukan hasil perkalian akar bilangan berikut! f. 3 3 ​ ( 15 ​ + 2 4 8 ​ ) − 2 ​ ( 6 ​ )

Tentukan hasil perkalian akar bilangan berikut!
f.  

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E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

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hasil dari adalah .

hasil dari 3 square root of 3 left parenthesis square root of 15 plus 2 fourth root of 8 right parenthesis minus square root of 2 open parentheses square root of 6 close parentheses adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 9 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 5 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fourth root of 72 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 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 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 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 
  • square root of a equals fourth root of a squared end root

Dengan rumus di atas diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 3 square root of 3 left parenthesis square root of 15 plus 2 fourth root of 8 right parenthesis minus square root of 2 open parentheses square root of 6 close parentheses end cell row blank equals cell 3 square root of 3 times square root of 15 plus 3 square root of 3 times 2 fourth root of 8 minus square root of 2 times 6 end root end cell row blank equals cell 3 square root of 3 times 15 end root plus 6 square root of 3 times fourth root of 8 minus square root of 12 end cell row blank equals cell 3 square root of 45 plus 6 fourth root of 3 squared end root times fourth root of 8 minus square root of 12 end cell row blank equals cell 3 square root of 3 squared times 5 end root plus 6 fourth root of 3 squared times 8 end root minus square root of 2 squared times 3 end root end cell row blank equals cell 3 times 3 square root of 5 plus 6 times fourth root of 72 minus 2 square root of 3 end cell row blank equals cell 9 square root of 5 plus 6 fourth root of 72 minus 2 square root of 3 end cell end table 

Jadi hasil dari 3 square root of 3 left parenthesis square root of 15 plus 2 fourth root of 8 right parenthesis minus square root of 2 open parentheses square root of 6 close parentheses adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 9 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 5 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 6 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fourth root of 72 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 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 3 end cell end table.

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