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Tentukan hasil perkalian akar-akar bilangan berikut! e. ( 2 4 a 5 ​ + b ​ ) ( 2 4 a 5 ​ − b ​ )

Tentukan hasil perkalian akar-akar bilangan berikut!

e.  

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E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

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hasil dari adalah .

hasil dari open parentheses 2 fourth root of a to the power of 5 end root plus square root of b close parentheses open parentheses 2 fourth root of a to the power of 5 end root minus square root of b close parentheses adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table squared table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of a end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell negative b end cell end table.

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Pembahasan

Ingat kembali rumus berikut. Dari rumus di atas, diperoleh perhitungan sebagai berikut. Jadi, hasil dari adalah .

Ingat kembali rumus berikut.

  • open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent 
  • n-th root of a to the power of m end root equals a to the power of m over n end exponent 
  • a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent 
  • square root of a squared cross times b end root equals a square root of b
  • open parentheses square root of a minus square root of b close parentheses open parentheses square root of a plus square root of b close parentheses equals open parentheses square root of a close parentheses squared minus open parentheses square root of b close parentheses squared 

Dari rumus di atas, diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 2 fourth root of a to the power of 5 end root plus square root of b close parentheses open parentheses 2 fourth root of a to the power of 5 end root minus square root of b close parentheses end cell equals cell 2 squared open parentheses fourth root of a to the power of 5 end root close parentheses squared minus open parentheses square root of b close parentheses squared end cell row blank equals cell 4 open parentheses a to the power of 5 over 4 end exponent close parentheses squared minus b end cell row blank equals cell 4 open parentheses a to the power of 5 over 4 cross times 2 end exponent close parentheses minus b end cell row blank equals cell 4 open parentheses a to the power of 5 over 2 end exponent close parentheses minus b end cell row blank equals cell 4 open parentheses a to the power of 2 1 half end exponent close parentheses minus b end cell row blank equals cell 4 open parentheses a to the power of 2 plus 1 half end exponent close parentheses minus b end cell row blank equals cell 4 open parentheses a squared cross times a to the power of 1 half end exponent close parentheses minus b end cell row blank equals cell 4 a squared square root of a minus b end cell end table 

Jadi, hasil dari open parentheses 2 fourth root of a to the power of 5 end root plus square root of b close parentheses open parentheses 2 fourth root of a to the power of 5 end root minus square root of b close parentheses adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table squared table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of a end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell negative b end cell end table.

Latihan Bab

Konsep Kilat

Pengertian Bentuk Akar

Penjumlahan dan Pengurangan Bentuk Akar

Perkalian Bentuk Akar

74

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