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Salinlah soal-soal berikut, kemudian lengkapi isiannya ! 1. 63 ​ 2. 80 ​ 3. 3 72 ​ 4. 3 108 ​ ​ = = = = = = = = = = = = ​ ​ × 7 ​ ​ ​ × 7 ​ ​ 7 ​ ​ × 5 ​ ​ ​ × ​ ​ ​ ​ ​ 3 ​ × 9 ​ 3 ​ ​ × 3 9 ​ ​ 3 9 ​ 3 ​ × 4 ​ 3 ​ ​ × 3 ​ ​ ​ 3 ​ ​ ​

Salinlah soal-soal berikut, kemudian lengkapi isiannya !

 

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A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

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Jawaban

, , , dan .

 square root of 63 equals 3 square root of 7square root of 80 equals 4 square root of 5cube root of 72 equals 2 cube root of 9, dan cube root of 108 equals 3 cube root of 4.

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Pembahasan

Ingatlah, jika dan sembarang bilangan bulat, maka berlaku: dimana . Berdasarkan hal tersebut, maka isian yang tepat adalah: Dengan demikian, , , , dan .

Ingatlah, jika a dan b sembarang bilangan bulat, maka berlaku:

n-th root of a cross times n-th root of b equals n-th root of a cross times b end root

dimana a comma b greater or equal than 0.

Berdasarkan hal tersebut, maka isian yang tepat adalah:


table attributes columnalign right center left columnspacing 0px end attributes row cell 1. space square root of 63 end cell equals cell square root of bottom enclose space space 9 space space end enclose cross times 7 space end root end cell row blank equals cell square root of bottom enclose space space 9 space space end enclose end root cross times square root of 7 end cell row blank equals cell bottom enclose space space 3 space space end enclose square root of 7 end cell row blank blank blank row cell 2. space square root of 80 end cell equals cell square root of bottom enclose space 16 space space end enclose cross times 5 space end root end cell row blank equals cell square root of bottom enclose space space 16 space space space end enclose end root cross times square root of bottom enclose space space 5 space space end enclose end root end cell row blank equals cell bottom enclose space space 4 space space end enclose square root of bottom enclose space space 5 space space end enclose end root end cell row blank blank blank row cell 3. space cube root of 72 end cell equals cell cube root of bottom enclose space space 8 space space end enclose cross times 9 space end root end cell row blank equals cell cube root of bottom enclose space space 8 space space end enclose end root cross times cube root of 9 end cell row blank equals cell bottom enclose space space 2 space space end enclose cube root of 9 end cell row blank blank blank row cell 4. cube root of 108 end cell equals cell cube root of bottom enclose space space 27 space space end enclose cross times 4 space end root end cell row blank equals cell cube root of bottom enclose space space 27 space space end enclose end root cross times cube root of bottom enclose space space 4 space space end enclose end root end cell row blank equals cell bottom enclose space space 3 space space end enclose cube root of bottom enclose space space 4 space space end enclose end root end cell end table


Dengan demikian, square root of 63 equals 3 square root of 7square root of 80 equals 4 square root of 5cube root of 72 equals 2 cube root of 9, dan cube root of 108 equals 3 cube root of 4.

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Reysha Aliferza Mulia

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