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Sederhanakan 5 27 ​ − 3 48 ​ + 2 75 ​ = …

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I. Ridha

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

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5 square root of 27 minus 3 square root of 48 plus 2 square root of 75 equals 13 square root of 3.space 

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Pembahasan

Ingat kembali sifat-sifat bentuk akar: dengan dengan dengan Dengan demikian, Jadi, .

Ingat kembali sifat-sifat bentuk akar:

  1. square root of a squared end root equals a
  2. square root of a cross times b end root equals square root of a cross times square root of b dengan a greater or equal than 0 comma space b greater or equal than 0
  3. c square root of a plus d square root of a equals open parentheses c plus d close parentheses square root of a dengan a greater or equal than 0 
  4. c square root of a minus d square root of a equals open parentheses c minus d close parentheses square root of a dengan b greater or equal than 0 

Dengan demikian, 

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 square root of 27 minus 3 square root of 48 plus 2 square root of 75 end cell row blank equals cell 5 square root of 9 cross times 3 end root minus 3 square root of 16 cross times 3 end root plus 2 square root of 25 cross times 3 end root end cell row blank equals cell 5 square root of 3 squared cross times 3 end root minus 3 square root of 4 squared cross times 3 end root plus 2 square root of 5 squared cross times 3 end root end cell row blank equals cell 5 open parentheses square root of 3 squared end root cross times square root of 3 close parentheses minus 3 open parentheses square root of 4 squared end root cross times square root of 3 close parentheses plus 2 open parentheses square root of 5 squared end root cross times square root of 3 close parentheses end cell row blank equals cell 5 open parentheses 3 cross times square root of 3 close parentheses minus 3 open parentheses 4 cross times square root of 3 close parentheses plus 2 open parentheses 5 cross times square root of 3 close parentheses end cell row blank equals cell 15 cross times square root of 3 minus 12 cross times square root of 3 plus 10 cross times square root of 3 end cell row blank equals cell 15 square root of 3 minus 12 square root of 3 plus 10 square root of 3 end cell row blank equals cell open parentheses 15 minus 12 close parentheses square root of 3 plus 10 square root of 3 end cell row blank equals cell 3 square root of 3 plus 10 square root of 3 end cell row blank equals cell open parentheses 3 plus 10 close parentheses square root of 3 end cell row blank equals cell 13 square root of 3 end cell end table

Jadi, 5 square root of 27 minus 3 square root of 48 plus 2 square root of 75 equals 13 square root of 3.space 

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