Roboguru

Bentuk rasional dari 12−82​​8+60​​​ adalah ....

Pertanyaan

Bentuk rasional dari begin mathsize 14px style fraction numerator square root of 8 plus square root of 60 end root over denominator square root of 12 minus 8 square root of 2 end root end fraction end style adalah ....

  1. undefined 

  2. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 10 plus 2 square root of 6 plus 2 square root of 5 plus 2 square root of 3 over denominator 2 end fraction end cell end table end style 

  3. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 10 plus square root of 6 plus square root of 5 plus square root of 3 over denominator 4 end fraction end cell end table end style 

  4. begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 square root of 10 plus 2 square root of 6 plus square root of 5 plus square root of 3 over denominator 4 end fraction end cell end table end style 

Pembahasan Soal:

Perhatikan bahwa

begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator square root of 8 plus square root of 60 end root over denominator square root of 12 minus 8 square root of 2 end root end fraction end cell equals cell fraction numerator square root of 8 plus square root of 4 cross times 15 end root end root over denominator square root of 12 minus left parenthesis 2 cross times 4 right parenthesis square root of 2 end root end fraction end cell row blank equals cell fraction numerator square root of 8 plus 2 square root of 15 end root over denominator square root of 12 minus 2 square root of 16 cross times 2 end root end root end fraction end cell row blank equals cell fraction numerator square root of left parenthesis 5 plus 3 right parenthesis plus 2 square root of 5 cross times 3 end root end root over denominator square root of 12 minus 2 square root of 32 end root end fraction end cell row blank equals cell fraction numerator square root of 5 plus square root of 3 over denominator square root of left parenthesis 8 plus 4 right parenthesis minus 2 square root of 8 cross times 4 end root end root end fraction end cell row blank equals cell fraction numerator square root of 5 plus square root of 3 over denominator square root of 8 minus 2 end fraction end cell row blank equals cell fraction numerator square root of 5 plus square root of 3 over denominator square root of 8 minus 2 end fraction cross times fraction numerator square root of 8 plus 2 over denominator square root of 8 plus 2 end fraction end cell row blank equals cell fraction numerator open parentheses square root of 5 plus square root of 3 close parentheses open parentheses square root of 8 plus 2 close parentheses over denominator open parentheses square root of 8 close parentheses squared minus 2 squared end fraction end cell row blank equals cell fraction numerator open parentheses square root of 5 cross times square root of 8 close parentheses plus open parentheses square root of 3 cross times square root of 8 close parentheses plus open parentheses square root of 5 cross times 2 close parentheses plus left parenthesis square root of 3 cross times 2 right parenthesis over denominator 4 end fraction end cell row blank equals cell fraction numerator square root of 40 plus square root of 24 plus 2 square root of 5 plus 2 square root of 3 over denominator 4 end fraction end cell row blank equals cell fraction numerator 2 square root of 10 plus 2 square root of 6 plus 2 square root of 5 plus 2 square root of 3 over denominator 4 end fraction end cell row blank equals cell fraction numerator 2 left parenthesis square root of 10 plus square root of 6 plus square root of 5 plus square root of 3 right parenthesis over denominator 4 end fraction end cell row blank equals cell fraction numerator square root of 10 plus square root of 6 plus square root of 5 plus square root of 3 over denominator 2 end fraction end cell end table end style 

Jadi bentuk rasional dari begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 8 plus square root of 60 end root over denominator square root of 12 minus 8 square root of 2 end root end fraction end cell end table end style adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 10 plus square root of 6 plus square root of 5 plus square root of 3 over denominator 2 end fraction end cell end table end style.

Dengan demikian, jawaban yang tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

L. Desia

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Terakhir diupdate 04 Oktober 2021

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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Pertanyaan yang serupa

Bentuk rasional dari ​​2​17+122​​​​ adalah ....

Pembahasan Soal:

Perhatikan bahwa

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator square root of 17 plus 12 square root of 2 end root over denominator square root of 2 end fraction end cell equals cell fraction numerator square root of 17 plus left parenthesis 2 cross times 6 right parenthesis square root of 2 end root over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 17 plus 2 square root of 72 end root over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of left parenthesis 8 plus 9 right parenthesis plus 2 square root of 8 cross times 9 end root end root over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 8 plus square root of 9 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 8 plus 3 over denominator square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 16 plus 3 square root of 2 over denominator 2 end fraction end cell row blank equals cell fraction numerator 4 plus 3 square root of 2 over denominator 2 end fraction end cell end table end style 

Jadi, bentuk rasional dari begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 17 plus 12 square root of 2 end root over denominator square root of 2 end fraction end cell end table end style adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 plus 3 square root of 2 over denominator 2 end fraction end cell end table end style.

Dengan demikian, jawaban yang tepat adalah C.

0

Roboguru

Bentuk sederhana dari 29+66​​ adalah ....

Pembahasan Soal:

Perhatikan bahwa

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 29 plus 6 square root of 6 end root end cell equals cell square root of 29 plus left parenthesis 2 cross times 3 right parenthesis square root of 6 end root end cell row blank equals cell square root of 29 plus 2 square root of 3 squared cross times 6 end root end root end cell row blank equals cell square root of 29 plus 2 square root of 54 end root end cell row blank equals cell square root of left parenthesis 27 plus 2 right parenthesis plus 6 square root of 27 times 2 end root end root end cell row blank equals cell square root of 27 plus square root of 2 end cell row blank equals cell square root of 9 times 3 end root plus square root of 2 end cell row blank equals cell 3 square root of 3 plus square root of 2 end cell end table end style 

Jadi, bentuk sederhana dari undefined adalah begin mathsize 14px style 3 square root of 3 plus square root of 2 end style.

Dengan demikian, jawaban yang tepat adalah D.

0

Roboguru

Bentuk rasional dari (7−48​​)−215​+2​​ adalah ....

Pembahasan Soal:

Perhatikan bahwa

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator square root of 15 plus square root of 2 over denominator left parenthesis square root of 7 minus square root of 48 end root right parenthesis minus 2 end fraction end cell equals cell fraction numerator square root of 15 plus square root of 2 over denominator left parenthesis square root of 7 minus square root of 4 cross times 12 end root end root right parenthesis minus 2 end fraction end cell row blank equals cell fraction numerator square root of 15 plus square root of 2 over denominator left parenthesis square root of 7 minus 2 square root of 12 end root right parenthesis minus 2 end fraction end cell row blank equals cell fraction numerator square root of 15 plus square root of 2 over denominator left parenthesis square root of left parenthesis 4 plus 3 right parenthesis minus 2 square root of 4 cross times 3 end root end root right parenthesis minus 2 end fraction end cell row blank equals cell fraction numerator square root of 15 plus square root of 2 over denominator left parenthesis square root of 4 minus square root of 3 right parenthesis minus 2 end fraction end cell row blank equals cell fraction numerator square root of 15 plus square root of 2 over denominator left parenthesis 2 minus square root of 3 right parenthesis minus 2 end fraction end cell row blank equals cell fraction numerator square root of 15 plus square root of 2 over denominator negative square root of 3 end fraction end cell row blank equals cell negative fraction numerator square root of 15 plus square root of 2 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row blank equals cell negative fraction numerator left parenthesis square root of 15 cross times square root of 3 right parenthesis plus left parenthesis square root of 2 cross times square root of 3 right parenthesis over denominator 3 end fraction end cell row blank equals cell negative fraction numerator square root of 45 plus square root of 6 over denominator 3 end fraction end cell row blank equals cell negative fraction numerator square root of 9 cross times 5 end root plus square root of 2 over denominator 3 end fraction end cell row blank equals cell negative fraction numerator 3 square root of 5 plus square root of 2 over denominator 3 end fraction end cell end table end style 

Jadi, bentuk rasional dari begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 15 plus square root of 2 over denominator left parenthesis square root of 7 minus square root of 48 end root right parenthesis minus 2 end fraction end cell end table end style adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 square root of 5 plus square root of 2 over denominator 3 end fraction end cell end table end style.

Dengan demikian, jawaban yang tepat adalah D.

0

Roboguru

Bentuk rasional dari 5​−3​3+2​​ adalah ....

Pembahasan Soal:

Perhatikan bahwa

begin mathsize 12px style fraction numerator 3 plus square root of 2 over denominator square root of 5 minus square root of 3 end fraction equals fraction numerator 3 plus square root of 2 over denominator square root of 5 minus square root of 3 end fraction cross times fraction numerator square root of 5 plus square root of 3 over denominator square root of 5 plus square root of 3 end fraction equals fraction numerator open parentheses 3 plus square root of 2 close parentheses open parentheses square root of 5 plus square root of 3 close parentheses over denominator open parentheses square root of 5 close parentheses squared minus open parentheses square root of 3 close parentheses squared end fraction equals fraction numerator open parentheses 3 cross times square root of 5 close parentheses plus open parentheses square root of 2 cross times square root of 5 close parentheses plus open parentheses 3 cross times square root of 3 close parentheses plus open parentheses square root of 2 cross times square root of 3 close parentheses over denominator 5 minus 3 end fraction equals fraction numerator 3 square root of 5 plus square root of 10 plus 3 square root of 3 plus square root of 6 over denominator 2 end fraction equals fraction numerator square root of 10 plus square root of 6 plus 3 square root of 5 plus 3 square root of 3 over denominator 2 end fraction end style   

Jadi, bentuk rasional dari undefined adalah begin mathsize 14px style fraction numerator square root of 10 plus square root of 6 plus 3 square root of 5 plus 3 square root of 3 over denominator 2 end fraction end style.

Dengan demikian, jawaban yang tepat adalah D.

0

Roboguru

Bentuk rasional dari 5​−3​2​adalah ....

Pembahasan Soal:

Perhatikan bahwa

begin mathsize 14px style fraction numerator 2 over denominator square root of 5 minus square root of 3 end fraction equals fraction numerator 2 over denominator square root of 5 minus square root of 3 end fraction cross times fraction numerator square root of 5 plus square root of 3 over denominator square root of 5 plus square root of 3 end fraction space space space space space space space space space space space space space space space space space equals fraction numerator 2 cross times open parentheses square root of 5 plus square root of 3 close parentheses over denominator open parentheses square root of 5 close parentheses squared minus open parentheses square root of 3 close parentheses squared end fraction space space space space space space space space space space space space space space space space space equals fraction numerator 2 open parentheses square root of 5 plus square root of 3 close parentheses over denominator 5 minus 3 end fraction space space space space space space space space space space space space space space space space space equals fraction numerator 2 open parentheses square root of 5 plus square root of 3 close parentheses over denominator 2 end fraction space space space space space space space space space space space space space space space space space equals square root of 5 plus square root of 3 end style    

Jadi, bentuk rasional dari begin mathsize 14px style fraction numerator 2 over denominator square root of 5 minus square root of 3 end fraction end style adalah undefined

Dengan demikian, jawaban yang tepat adalah C.

1

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

Tapi Roboguru masih mau belajar. Menurut kamu pembahasan kali ini sudah membantu, belum?

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