[a] = √3 [b] = 1 dan [a-b] = 1 Tentukan a + b =........
Matematika
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Pertanyaan
[a] = √3
[b] = 1
dan [a-b] = 1
Tentukan a + b =........
[b] = 1
dan [a-b] = 1
Tentukan a + b =........
1 Jawaban
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1. Jawaban clonofo
jika |a| = √3, |b| = 1 dan |a - b| = 1
maka |a - b|² = (a - b)(a - b) = 1
|a|² - 2a•b + |b|² = 1
3 - 2a•b + 1 = 1
a•b = 2 ✔️
|a + b|² = (a + b)(a + b)
= |a|² + 2a•b + |b|²
= 3 + 2 + 1
= 6 ✔️
maka (a + b) = √6 ✔️
semoga jelas dan membantu