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Pertanyaan

Tentukan hasil akar-akar bilangan berikut! a. 3 − 729 ​ b. − 3 64 a 6 ​ c. 2 10 ​ + 3 − 4 6 ​

Tentukan hasil akar-akar bilangan berikut!

a.

b.

c.

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D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

hasil dari , , dan .

hasil dari cube root of negative 729 end root equals negative 9, Error converting from MathML to accessible text., dan square root of 2 to the power of 10 end root plus cube root of negative 4 to the power of 6 end root equals 16.

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Pembahasan

Ingatlah, jika hasil pemangkatan , maka nilai . Berdasarkan hal tersebut, maka: a) b) c) Dengan demikian, hasil dari , , dan .

Ingatlah, jika hasil pemangkatan a to the power of n equals b, maka nilai n-th root of b equals n-th root of a to the power of n end root equals a.

Berdasarkan hal tersebut, maka:

a)

table attributes columnalign right center left columnspacing 0px end attributes row cell cube root of negative 729 end root end cell equals cell cube root of open parentheses negative 9 close parentheses cubed end root end cell row blank equals cell negative 9 end cell end table  

b)

table attributes columnalign right center left columnspacing 0px end attributes row cell negative cube root of 64 a to the power of 6 end root end cell equals cell negative cube root of left parenthesis 4 a squared right parenthesis cubed end root end cell row blank equals cell negative 4 a squared end cell end table

c)

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 2 to the power of 10 end root plus cube root of negative 4 to the power of 6 end root end cell equals cell square root of open parentheses 2 to the power of 5 close parentheses squared end root plus cube root of negative open parentheses 4 squared close parentheses cubed end root end cell row blank equals cell 2 to the power of 5 plus open square brackets negative open parentheses 4 squared close parentheses close square brackets end cell row blank equals cell 32 plus open parentheses negative 16 close parentheses end cell row blank equals cell 32 minus 16 end cell row blank equals 16 end table

Dengan demikian, hasil dari cube root of negative 729 end root equals negative 9, Error converting from MathML to accessible text., dan square root of 2 to the power of 10 end root plus cube root of negative 4 to the power of 6 end root equals 16.

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