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Tentukan hasil operasi akar bilangan berikut! c. 73​+65​+248​−420​

Pertanyaan

Tentukan hasil operasi akar bilangan berikut!

c. 7 square root of 3 plus 6 square root of 5 plus 2 square root of 48 minus 4 square root of 20   

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil dari 7 square root of 3 plus 6 square root of 5 plus 2 square root of 48 minus 4 square root of 20 adalah 15 square root of 3 minus 2 square root of 5.

Pembahasan

Ingat kembali sifat penjumlahan dan pengurangan akar berikut!

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

Dengan rumus di atas, diperoleh perhitungan sebagai berikut.

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell 7 square root of 3 plus 6 square root of 5 plus 2 square root of 48 minus 4 square root of 20 end cell equals cell 7 square root of 3 plus 6 square root of 5 plus 2 square root of 16 cross times 3 end root minus 4 square root of 4 cross times 5 end root end cell row blank equals cell 7 square root of 3 plus 6 square root of 5 plus 2 cross times 4 square root of 3 minus 4 cross times 2 square root of 5 end cell row blank equals cell 7 square root of 3 plus 6 square root of 5 plus 8 square root of 3 minus 8 square root of 5 end cell row blank equals cell left parenthesis 7 square root of 3 plus 8 square root of 3 right parenthesis plus left parenthesis 6 square root of 5 minus 8 square root of 5 right parenthesis end cell row blank equals cell left parenthesis 7 plus 8 right parenthesis square root of 3 plus left parenthesis 6 minus 8 right parenthesis square root of 5 end cell row blank equals cell 15 square root of 3 minus 2 square root of 5 end cell end table end style         

Jadi, hasil dari 7 square root of 3 plus 6 square root of 5 plus 2 square root of 48 minus 4 square root of 20 adalah 15 square root of 3 minus 2 square root of 5.

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Tentukan hasil operasi hitung berikut. c. 38​+450​−2200​

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