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Nilai dari  adalah

Pertanyaan

Nilai dari begin mathsize 14px style fraction numerator 6 square root of 10 x end root over denominator 3 square root of 2 x squared end root end fraction end style adalah begin mathsize 14px style horizontal ellipsis end style

  1. begin mathsize 14px style 2 square root of fraction numerator 5 x over denominator x squared end fraction end root end style

  2. begin mathsize 14px style 2 square root of 5 over x end root end style 

  3. begin mathsize 14px style 2 square root of 5 x end root end style 

  4. begin mathsize 14px style 2 square root of 8 x end root end style

Pembahasan Soal:

Perhatikan bahwa

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 6 square root of 10 x end root over denominator 3 square root of 2 x squared end root end fraction end cell equals cell 6 over 3 square root of fraction numerator 10 x over denominator 2 x squared end fraction end root end cell row blank equals cell 6 over 3 square root of fraction numerator 10 x divided by 2 x over denominator 2 x squared divided by 2 x end fraction end root end cell row blank equals cell 2 square root of 5 over x end root end cell end table

Jadi, jawaban yang tepat adalah B.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

A. Damanhuri

Terakhir diupdate 11 Agustus 2021

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Pertanyaan yang serupa

Bentuk sederhana dari  adalah...

Pembahasan Soal:

Pada penjumlahan akar, berlaku a square root of b plus c square root of b equals open parentheses a plus c close parentheses square root of b,

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 4 square root of 2 plus square root of 50 over denominator 3 square root of 18 minus 6 square root of 2 end fraction end cell equals cell fraction numerator 4 square root of 2 plus square root of 25 cross times 2 end root over denominator 3 square root of 9 cross times 2 end root minus 6 square root of 2 end fraction end cell row blank equals cell fraction numerator 4 square root of 2 plus square root of 5 squared cross times 2 end root over denominator 3 square root of 3 squared cross times 2 end root minus 6 square root of 2 end fraction end cell row blank equals cell fraction numerator 4 square root of 2 plus 5 square root of 2 over denominator 3 cross times 3 square root of 2 minus 6 square root of 2 end fraction end cell row blank equals cell fraction numerator 9 square root of 2 over denominator 9 square root of 2 minus 6 square root of 2 end fraction end cell row blank equals cell fraction numerator 9 up diagonal strike square root of 2 end strike over denominator 3 up diagonal strike square root of 2 end strike end fraction end cell row blank equals 3 end table

Oleh karena itu, jawaban yang benar adalah A. 

 

 

Roboguru

Berapakah hasil dari operasi hitung

Pembahasan Soal:

Berdasarkan aturan pembagian bentuk akar, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of a space colon space square root of b end cell equals cell square root of a over b end root end cell row cell cube root of 1.000 end root space colon space cube root of 125 space end cell equals cell cube root of fraction numerator 1.000 over denominator 125 end fraction end root end cell row blank equals cell cube root of 8 end cell row blank equals cell cube root of 2 cubed end root end cell row blank equals cell open parentheses 2 cubed close parentheses to the power of 1 third end exponent end cell row blank equals cell 2 to the power of 1 end cell row cell cube root of 1.000 end root space colon space cube root of 125 end cell equals 2 end table 

Dengan demikian, nilai dari cube root of 1.000 end root space colon space cube root of 125 space adalah 2.  

Roboguru

Hasil dari adalah...

Pembahasan Soal:

Ingat operasi berikut :

square root of a cross times square root of b equals square root of a cross times b end root square root of a divided by square root of b equals square root of a divided by b end root

berdasarkan sifat tersebut, maka

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 square root of 2 cross times square root of 75 divided by square root of 54 end cell equals cell 3 square root of 2 cross times square root of 3 cross times 25 end root divided by square root of 9 cross times 6 end root end cell row blank equals cell 3 square root of 2 cross times 5 square root of 3 divided by 3 square root of 6 end cell row blank equals 5 end table

Jadi, jawaban yang tepat adalah C.

Roboguru

Hasil dari  adalah ...

Pembahasan Soal:

table attributes columnalign right center left columnspacing 2px end attributes row cell square root of 1350 divided by square root of 3 end cell equals cell fraction numerator square root of 450 cross times 3 end root over denominator square root of 3 end fraction end cell row blank equals cell fraction numerator square root of 450 cross times square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell square root of 450 end cell row blank equals cell square root of 25 cross times 18 end root end cell row blank equals cell square root of 25 cross times 9 cross times 2 end root end cell row blank equals cell square root of 25 cross times square root of 9 cross times square root of 2 end cell row blank equals cell 5 cross times 3 cross times square root of 2 end cell row blank equals cell 15 square root of 2 end cell end table 

Hasil dari square root of 1350 divided by square root of 3 adalah 15 square root of 2 

Jadi, jawaban yang tepat adalah C

Roboguru

Tentukan hasil pembagian akar-akar bilangan berikut! e.

Pembahasan Soal:

Ingat kembali sifat pembagian akar berikut!

Jika a space dan space b sebarang bilangan bulat, maka berlaku:

square root of a divided by square root of b equals square root of a divided by b end root  

Dengan rumus di atas, diperoleh perhitungan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell 6 square root of 90 divided by 3 square root of 2 end cell equals cell left parenthesis 6 divided by 3 right parenthesis left parenthesis square root of 90 divided by square root of 2 right parenthesis end cell row blank equals cell 2 square root of 90 divided by 2 end root end cell row blank equals cell 2 square root of 45 end cell row blank equals cell 2 cross times square root of 9 cross times 5 end root end cell row blank equals cell 2 cross times 3 square root of 5 end cell row blank equals cell 6 square root of 5 end cell row blank blank blank end table       

Jadi, hasil dari 6 square root of 90 divided by 3 square root of 2 equals 6 square root of 5.

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