Matematika

Pertanyaan

sederhanakan bentuk akar berikut
a.) 3 akar 18 + 5 akar 50 - 2 akar 200
b.) 4 akar 6 ( akar 8 - akar 18 ) + 18 akar 3
c.) ( 2 akar 5 - 3 akar 2 ) ( 2 akar 5 + 3 akar 2 )
d.) 4 - 5 akar 3 ) pangkat 2
tolon jwb ya kak beserta caranya,,, maksih!!!

2 Jawaban

  • a)14 akar2
    b)10 akar3
    c)2
    d)-11
    #maaf kalo salah
  • a) 3√18 + 5√50 - 2√200 = 3√(9 x 2) + 5√(25 x 2) - 2√(100 x 2)
                                          = 3 x 3√2 + 5 x 5√2 - 2 x 10√2
                                          = 9√2 + 25√2 - 20√2
                                          = 14√2

    b) 4√6 (√8 - √18) + 18√3 = 4√48 - 4√108 + 18√3
                                            = 4√(16 x 3) - 4√(36 x 3) + 18√3
                                            = 4 x 4√3 - 4 x 6√3 + 18√3
                                            = 16√3 - 24√3 + 18√3
                                            = 10√3

    c) (2√5 - 3√2) (2√5 + 3√2) = (2√5)² - (3√2)²
                                              = (4 x 5) - (9 x 2)
                                              = 20 - 18
                                              = 2

    d) (4 - 5√3)² = 4² - 2 x 4 x 5√3 - (5√3)²
                        = 16 - 40√3 - 75
                        = - 59 - 40√3

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