Matematika

Pertanyaan

Nilai dari 1/2√45-2√12+1/2√20+√75=

2 Jawaban

  • 1/2√45-2√12+1/2√20+√75
    = 1/2 √9√5 - 2√4√3 + 1/2√4√5 + √25√3

    = (1/2 x 3√5) - (2 x 2√3) + (1/2 x 2√5) + 5√3
    = 3/2 √5 - 4√3 + √5 + 5√3
    = 3/2 √5 + √5 - 4√3 + 5√3
    = 5/2 √5 - √3
  • 1/2 √45 - 2√12 + 1/2 √20 + √75
    = 1/2 √(9x5) - 2√(4x3) + 1/2 √(4x5) + √(25x3)
    = 1/2 x 3√5 - 2 x 2√3 + 1/2 x 2√5 + 5√3
    = 3/2 √5 - 4√3 + √5 + 5√3
    = (3/2 + 1)√5 + (-4/3 + 5)√3
    = 5/2 √5 + 11/15 √3

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