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Hasil dari ∣∣​2−5​∣∣​+∣∣​25​−4∣∣​ adalah ....

Pertanyaan

Hasil dari open vertical bar 2 minus square root of 5 close vertical bar plus open vertical bar 2 square root of 5 minus 4 close vertical bar adalah ....

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

Jawaban

hasil dari open vertical bar 2 minus square root of 5 close vertical bar plus open vertical bar 2 square root of 5 minus 4 close vertical bar adalah 3 square root of 5 minus 6.

Pembahasan

Ingat bahwa, nilai mutlak merupakan nilai yang tidak pernah negatif, dengan definisi

table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line x vertical line end cell equals cell x comma space space untuk space x greater or equal than 0 end cell row blank equals cell negative x comma space untuk space x less than 0 end cell end table

Perhatikan bahwa,

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 5 end cell equals cell 2 comma... end cell row blank rightwards arrow cell 2 less than square root of 5 end cell row cell 2 minus square root of 5 end cell less than 0 row cell vertical line 2 minus square root of 5 vertical line end cell equals cell square root of 5 minus 2 end cell row cell 2 square root of 5 end cell equals cell 2 cross times 2 comma... end cell row blank equals cell 4 comma... end cell row blank rightwards arrow cell 4 less than 2 square root of 5 end cell row cell 2 square root of 5 minus 4 end cell greater than 0 row cell vertical line 2 square root of 5 minus 4 vertical line end cell equals cell 2 square root of 5 minus 4 end cell end table

Sehingga didapatkan

open vertical bar 2 minus square root of 5 close vertical bar plus open vertical bar 2 square root of 5 minus 4 close vertical bar equals square root of 5 minus 2 plus 2 square root of 5 minus 4 equals 3 square root of 5 minus 6

Dengan demikian, hasil dari open vertical bar 2 minus square root of 5 close vertical bar plus open vertical bar 2 square root of 5 minus 4 close vertical bar adalah 3 square root of 5 minus 6.

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