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Pertanyaan

Nilai dari 1 + 2 1 + 3 1 + 4 … ​ ​ ​ ​ = … ?

Nilai dari  ? 

  1. begin mathsize 14px style horizontal ellipsis end style 

  2. begin mathsize 14px style horizontal ellipsis end style 

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I. Kumaralalita

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari begin mathsize 14px style square root of 1 plus 2 square root of 1 plus 3 square root of 1 plus 4 square root of horizontal ellipsis end root end root end root equals 3 end style.

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Pembahasan

Perhatikan permisalan bentuk akar dalam akar berikut, Jadi, nilai dari .

Perhatikan permisalan bentuk akar dalam akar berikut,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row 3 equals cell square root of 9 end cell row blank equals cell square root of 1 plus 8 end root end cell row blank equals cell square root of 1 plus 2 times 4 end root end cell row blank equals cell square root of 1 plus 2 square root of 16 end root end cell row blank equals cell square root of 1 plus 2 square root of 1 plus 15 end root end root end cell row blank equals cell square root of 1 plus 2 square root of 1 plus 3 times 5 end root end root end cell row blank equals cell square root of 1 plus 2 square root of 1 plus 3 square root of 25 end root end root end cell row blank equals cell square root of 1 plus 2 square root of 1 plus 3 square root of 1 plus 24 end root end root end root end cell row blank equals cell square root of 1 plus 2 square root of 1 plus 3 square root of 1 plus 4 times 6 end root end root end root end cell row blank equals cell square root of 1 plus 2 square root of 1 plus 3 square root of 1 plus 4 square root of 36 end root end root end root end cell row blank equals cell square root of 1 plus 2 square root of 1 plus 3 square root of 1 plus 4 square root of horizontal ellipsis end root end root end root end cell end table end style 

Jadi, nilai dari begin mathsize 14px style square root of 1 plus 2 square root of 1 plus 3 square root of 1 plus 4 square root of horizontal ellipsis end root end root end root equals 3 end style.

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Jannah Miftahul

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Rista Wati

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