54+145​​+12−235​​+32−107​​= ...

Pertanyaan

square root of 54 plus 14 square root of 5 end root plus square root of 12 minus 2 square root of 35 end root plus square root of 32 minus 10 square root of 7 end root equals space... 

  1. 10 

  2. 11 

  3. 12 

  4. 5 square root of 6 

  5. 6 square root of 6 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Ingat bahwa:

bullet space left parenthesis a plus b right parenthesis squared equals a to the power of 2 end exponent plus 2 a b plus b squared bullet space left parenthesis a minus b right parenthesis squared equals a squared minus 2 a b plus b bullet space square root of a square root of b equals square root of a b end root bullet space open parentheses square root of a close parentheses squared equals a 

Sehingga,

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 54 plus 14 square root of 5 end root plus square root of 12 minus 2 square root of 35 end root plus square root of 32 minus 10 square root of 7 end root end cell row blank equals cell square root of 5 plus 14 square root of 5 plus 49 end root plus square root of 5 plus 7 minus 2 square root of 35 end root plus square root of 7 minus 10 square root of 7 plus 25 end root end cell row blank equals cell square root of 1 times thin space 5 plus 14 square root of 5 plus 49 end root plus square root of 5 plus 7 minus 2 square root of 7 times 5 end root end root end cell row blank blank cell plus square root of open parentheses square root of 1 close parentheses squared open parentheses square root of 7 close parentheses squared minus 10 square root of 7 plus open parentheses square root of 25 close parentheses squared end root end cell row blank equals cell square root of open parentheses square root of 1 close parentheses squared open parentheses square root of 5 close parentheses squared plus 14 square root of 5 plus open parentheses square root of 49 close parentheses squared end root plus square root of 5 plus 7 minus 2 square root of 7 square root of 5 end root end cell row blank blank cell plus square root of 1 squared open parentheses square root of 7 close parentheses squared minus 2 times thin space 1 times thin space 5 square root of 7 plus 5 squared end root end cell row blank equals cell square root of open parentheses 1 times square root of 5 plus 7 close parentheses squared end root plus square root of open parentheses square root of 5 minus square root of 7 close parentheses squared end root plus square root of open parentheses 1 times square root of 7 minus 5 close parentheses squared end root end cell row blank equals cell 1 times square root of 5 plus 7 plus square root of open vertical bar open parentheses square root of 5 minus square root of 7 close parentheses squared close vertical bar end root plus square root of open parentheses 5 minus 1 times square root of 7 close parentheses squared end root end cell row blank equals cell square root of 5 plus 7 minus square root of 5 plus square root of 7 plus 5 minus square root of 7 end cell row blank equals 12 end table 

Jadi, square root of 54 plus 14 square root of 5 end root plus square root of 12 minus 2 square root of 35 end root plus square root of 32 minus 10 square root of 7 end root equals 12.

Dengan demikian, jawaban yang tepat adalah C.

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