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∣∣​7​+11​4​∣∣​=....

Pertanyaan

open vertical bar fraction numerator 4 over denominator square root of 7 plus square root of 11 end fraction close vertical bar equals....

  1. square root of 7 plus square root of 11

  2. square root of 7 minus square root of 11

  3. square root of 11 minus square root of 7

  4. negative square root of 7

  5. negative square root of 11

N. Sari

Master Teacher

Mahasiswa/Alumni Universitas Nasional

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C

Pembahasan

Nilai mutlak dari bilangan positif atau nol sama dengan bilangan itu sendiri. Nilai mutlak dari bilangan negatif pasti bernilai positif, karena negatif dari bilangan negatif adalah bilangan positif.

Rasionalkan operasi tersebut.

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar fraction numerator 4 over denominator square root of 7 plus square root of 11 end fraction close vertical bar end cell equals cell open vertical bar fraction numerator 4 over denominator square root of 7 plus square root of 11 end fraction cross times fraction numerator square root of 7 minus square root of 11 over denominator square root of 7 minus square root of 11 end fraction close vertical bar end cell row blank equals cell open vertical bar fraction numerator 4 open parentheses square root of 7 minus square root of 11 close parentheses over denominator open parentheses square root of 7 close parentheses squared minus open parentheses square root of 11 close parentheses squared end fraction close vertical bar end cell row blank equals cell open vertical bar fraction numerator 4 open parentheses square root of 7 minus square root of 11 close parentheses over denominator 7 minus 11 end fraction close vertical bar end cell row blank equals cell open vertical bar fraction numerator 4 open parentheses square root of 7 minus square root of 11 close parentheses over denominator negative 4 end fraction close vertical bar end cell row blank equals cell open vertical bar negative open parentheses square root of 7 minus square root of 11 close parentheses close vertical bar end cell row blank equals cell open vertical bar square root of 11 minus square root of 7 close vertical bar end cell end table

Karena operasi di dalam mutlak tersebut bernilai positif, maka :

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar square root of 11 minus square root of 7 close vertical bar end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 11 end cell end table 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 square root of 7 end cell end table

Maka, table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar fraction numerator 4 over denominator square root of 7 plus square root of 11 end fraction close vertical bar end cell equals cell square root of 11 minus square root of 7 end cell end table

Oleh karena itu, jawaban yang benar adalah C

102

5.0 (6 rating)

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