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Pertanyaan

Hasil dari 6 ​ × 30 ​ × 45 ​ adalah....

Hasil dari  adalah ....

  1. begin mathsize 14px style 45 end style

  2. begin mathsize 14px style 90 end style

  3. begin mathsize 14px style 135 end style 

  4. begin mathsize 14px style 180 end style

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

jawaban yang tepat adalah B.

Pembahasan

Dapat diperhatikan bahwa Kemudian, ingat rumus berikut. Oleh karena itu, diperoleh hasil perhitungan sebagai berikut. Dengan demikian, . Jadi, jawaban yang tepat adalah B.

Dapat diperhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 6 end cell equals cell square root of 2 cross times 3 end root end cell row cell square root of 30 end cell equals cell square root of 2 cross times 3 cross times 5 end root end cell row cell square root of 45 end cell equals cell square root of 3 cross times 3 cross times 5 end root end cell end table end style

Kemudian, ingat rumus berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell n-th root of a to the power of m end root end cell equals cell a to the power of m over n end exponent end cell row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m cross times n end exponent end cell end table end style 

Oleh karena itu, diperoleh hasil perhitungan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 6 cross times square root of 30 cross times square root of 45 end cell equals cell square root of 6 cross times 30 cross times 45 end root end cell row blank equals cell square root of open parentheses 2 cross times 3 close parentheses cross times open parentheses 2 cross times 3 cross times 5 close parentheses cross times open parentheses 3 cross times 3 cross times 5 close parentheses end root end cell row blank equals cell square root of 2 cross times 2 cross times 3 cross times 3 cross times 3 cross times 3 cross times 5 cross times 5 end root end cell row blank equals cell square root of 2 squared cross times 3 to the power of 4 cross times 5 squared end root end cell row blank equals cell open parentheses 2 squared cross times 3 to the power of 4 cross times 5 squared close parentheses to the power of 1 half end exponent end cell row blank equals cell open parentheses 2 squared close parentheses to the power of 1 half end exponent cross times open parentheses 3 to the power of 4 close parentheses to the power of 1 half end exponent cross times open parentheses 5 squared close parentheses to the power of 1 half end exponent end cell row blank equals cell open parentheses 2 to the power of 2 cross times 1 half end exponent close parentheses cross times open parentheses 3 to the power of 4 cross times 1 half end exponent close parentheses cross times open parentheses 5 to the power of 2 cross times 1 half end exponent close parentheses end cell row blank equals cell 2 to the power of 1 cross times 3 squared cross times 5 to the power of 1 end cell row blank equals cell 2 cross times 9 cross times 5 end cell row blank equals 90 end table end style 

Dengan demikian, begin mathsize 14px style square root of 6 cross times square root of 30 cross times square root of 45 equals 90 end style.  

Jadi, jawaban yang tepat adalah B.

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