Roboguru

Bentuk paling sederhana dari   adalah ....

Pertanyaan

Bentuk paling sederhana dari

begin mathsize 14px style 5 square root of 28 plus 4 square root of 63 minus 3 square root of 112 minus square root of 175 end style 

adalah ....

  1. begin mathsize 14px style negative 5 square root of 7 end style 

  2. begin mathsize 14px style negative 2 square root of 7 end style  

  3. begin mathsize 14px style negative square root of 7 end style 

  4. begin mathsize 14px style 2 square root of 7 end style  

  5. begin mathsize 14px style 5 square root of 7 end style 

Pembahasan Soal:

Gunakan konsep penjumlahan dan pengurangan bentuk akar.

Sebelum dilakukan proses penjumlahan dan pengurangan samakan bentuk akar.

Perhatikan perhitungan berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row blank blank cell 5 square root of 28 plus 4 square root of 63 minus 3 square root of 112 minus square root of 175 end cell row blank equals cell 5 square root of 4 times 7 end root plus 4 square root of 9 times 7 end root minus 3 square root of 16 times 7 end root minus square root of 25 times 7 end root end cell row blank equals cell 5 times 2 square root of 7 plus 4 times 3 square root of 7 minus 3 times 4 square root of 7 minus 5 times square root of 7 end cell row blank equals cell 10 square root of 7 plus 12 square root of 7 minus 12 square root of 7 minus 5 square root of 7 end cell row blank equals cell 5 square root of 7 end cell end table end style

Jadi, jawaban yang tepat adalah E.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

A. Acfreelance

Terakhir diupdate 11 Juli 2021

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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Pertanyaan yang serupa

Nilai dari

Pembahasan Soal:

3 √ 32 minus 6 √ 8 plus 4 √ 50 plus √ 2 equals 3 √ left parenthesis 16 space.2 right parenthesis minus 6 √ left parenthesis 4 space.2 right parenthesis plus 4 √ left parenthesis 25 space.2 right parenthesis plus √ 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 3 space.4 √ 2 minus 6 space.2 √ 2 plus 4 space.5 √ 2 plus √ 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 12 √ 2 minus 12 √ 2 plus 20 √ 2 plus √ 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals left parenthesis 12 minus 12 plus 20 plus 1 right parenthesis space √ 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 21 √ 2

0

Roboguru

Bentuk sederhana dari

Pembahasan Soal:

“Sederhanakan akar pada soal menjadi hanya square root of 2“ sehingga :

square root of 72 minus square root of 242 minus square root of 18 plus square root of 32 equals square root of 36 space. space 2 end root minus square root of 121 space. space 2 end root minus square root of 9 space. space 2 end root plus square root of 1 6 space. space 2 end root  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 6 square root of 2 minus 11 square root of 2 minus 3 square root of 2 plus 4 square root of 2  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals left parenthesis 6 minus 11 minus 3 plus 4 right parenthesis square root of 2  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals negative 4 square root of 2

0

Roboguru

Bentuk sederhana dari

Pembahasan Soal:

Ingat sifat-sifat bentuk akar berikut:

begin mathsize 14px style square root of a cross times square root of b equals square root of a b end root end style, di mana begin mathsize 14px style a end style dan begin mathsize 14px style b end style bilangan real positif.

begin mathsize 14px style a square root of c plus-or-minus b square root of c equals open parentheses a plus-or-minus b close parentheses square root of c end style , di mana begin mathsize 14px style a end stylebegin mathsize 14px style b end stylebegin mathsize 14px style c end style bilangan real, dan begin mathsize 14px style c greater or equal than 0 end style.

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 square root of 32 plus square root of 72 minus 2 square root of 128 space end cell equals cell 2 square root of 16 cross times 2 end root plus square root of 36 cross times 2 end root minus 2 square root of 64 cross times 2 end root end cell row blank equals cell 2 open parentheses 4 square root of 2 close parentheses plus 6 square root of 2 minus 2 open parentheses 8 square root of 2 close parentheses end cell row blank equals cell 8 square root of 2 plus 6 square root of 2 minus 16 square root of 2 end cell row blank equals cell negative 2 square root of 2 end cell end table end style  

Jadi, jawaban yang benar adalah C.

0

Roboguru

Pembahasan Soal:

s e d e r h a n a k a n space a k a r space p a d a space s o a l space m e n j a d i space h a n y a space square root of 2 space s e h i n g g a space...square root of 4.2 end root minus square root of 25.2 end root plus 2 square root of 16.2 end root plus square root of 9.2 end root  equals 2 square root of 2 minus 5 square root of 2 plus 8 square root of 2 plus 3 square root of 2  equals 8 square root of 2

0

Roboguru

Pembahasan Soal:

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“ space Sederhanakan space akar space pada space soal space menjadi space hanya space square root of 2 “ space sehingga space colon  square root of 4.2 end root minus square root of 25.2 end root minus 2 square root of space 16.2 end root plus space square root of 9.2 end root space  equals space 2 square root of 2 space end root minus space 5 square root of 2 plus space 8 square root of 2 plus space 3 square root of 2 space  equals space 8 square root of 2 space

0

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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