Matematika

Pertanyaan

Sederhanakan:
1. √6+4√2 =
2. (2+√3)(√2-√3)-(2-√3)(√2+√3) =
3. √8/15-2√1/15 =
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1 Jawaban

  • 1. √6 + 4√2 = √3x√2 + 4√2
    = √2 (4 + √3)

    2.
    ( 2+√3)(√2-√3)-(2-√3)(√2+√3)
    = (2√2 - 2√3 + √6 - 3 ) - (2√2 + 2√3 - √6 - 3)
    = (2√2 - 2√2) - (2√3 + 2√3) + (√6 + √6) - (3 - 3)
    = -4√3 + 2√6
    = 2√6 - 4√3

    3.

    √8/15 - 2√1/15
    = 2√2/15 - 2 √1/15
    2/√15 (√2 - 1)

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