Jawaban:
terampil digambar
Penjelasan dengan langkah-langkah:
|a ± b|² = |a|² ± 2·a·b + |b|²
(a√b)² = a²b
|a| = 4
|b| = 6
|a - b| = 2√19
|a - b|² = |a|² - 2·a·b + |b|²
(2√19)² = 4² - 2·a·b + 6²
4 × 19 = 16 - 2·a·b + 36
76 = 52 - 2·a·b
2·a·b = 52 - 76
2·a·b = -24
|a + b|² = |a|² + 2·a·b + |b|²
|a + b|² = 4² + (-24) + 6²
|a + b|² = 16 - 24 + 36
|a + b|² = 28
|a + b| = ± √28 ---> |a + b| selalu positif
|a + b| = √28 ---> √(a²b) = a√b
|a + b| = √(2²×7)
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Jawaban:
terampil digambar
Penjelasan dengan langkah-langkah:
Penjelasan dengan langkah-langkah:
Sifat :
|a ± b|² = |a|² ± 2·a·b + |b|²
(a√b)² = a²b
|a| = 4
|b| = 6
|a - b| = 2√19
|a - b|² = |a|² - 2·a·b + |b|²
(2√19)² = 4² - 2·a·b + 6²
4 × 19 = 16 - 2·a·b + 36
76 = 52 - 2·a·b
2·a·b = 52 - 76
2·a·b = -24
|a + b|² = |a|² + 2·a·b + |b|²
|a + b|² = 4² + (-24) + 6²
|a + b|² = 16 - 24 + 36
|a + b|² = 28
|a + b| = ± √28 ---> |a + b| selalu positif
|a + b| = √28 ---> √(a²b) = a√b
|a + b| = √(2²×7)
|a + b| = 2√7