Matematika

Pertanyaan

Helpmee cepattt......
Helpmee cepattt......

1 Jawaban

  • (2)
    6√27 - 3√12 + 5√48 = p√3
    6.3√3 - 3.2√3 + 5.4√3 =p√3
    18√3 - 6√3 + 20√3 = p√3
    32√3 = p√3
    P = 32
    (3)
    x² - y² = (√3 +√2)² - (√5 - √3)²
    =(√3 +√2)(√3 +√2)-(√5 - √3)(√5 - √3)
    =3 + 2√6 + 2 - (5-3)
    =5 +2√6 -2
    =3 + 2√6
    (3)
    [tex] \frac{9}{ \sqrt{5} -\sqrt{2} } [/tex]
    =[tex] \frac{9}{ \sqrt{5} -\sqrt{2} } [/tex] . [tex] \frac{ \sqrt{5} + \sqrt{2} }{ \sqrt{5} + \sqrt{2} } [/tex]
    =[tex] \frac{ 9\sqrt{5} +9\sqrt{2} }{5 - 2} [/tex]
    =[tex] \frac{ 9\sqrt{5} +9\sqrt{2} }{3} [/tex]
    =[tex]3 \sqrt{5} + 3\sqrt{2} [/tex]
    (4)
    [tex] 32^{2x-3} = \frac{1}{8} [/tex]
    =[tex]( 2^{5}) ^{2x-3} = 8^{-1} [/tex]
    =[tex] 2^{10x-15} = 2^{-3}[/tex]
    10x - 15 = -3
    10x = 12
    x = 1,2