Matematika

Pertanyaan

1. 2+√5
-------- =
2√5


2. 4+√2
-------- =
4-√2

1 Jawaban

  • Bab Bilangan Irrasional
    Matematika SMP Kelas IX

    1] ( 2 + √5 ) / (2√5)
    = (2 + √5) . (2√5) / (2 √5)²
    = (4 √5 + 20) / (2² . √5² )
    = (4 √5 + 20) / (4 . 5)
    = (√5 + 5)/5
    = (1/5) √5 + 1

    2] (4 + √2) / (4 - √2)
    = (4 + √2) (4 + √2) / (4² - √2²)
    = (4² + 2 . 4 √2 + √2²) / (16 - 2)
    = (16 + 8√2 + 2) / 14
    = (18 + 8√2) / 14
    = (9 + 4√2)/7

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