Matematika

Pertanyaan

a. √250 - √200
b. √147 + 2√98
c. 2√242 + 3√121
d. 5/6 √18 - 2/5 √50
e. -3/4√98 5/8√98

2 Jawaban

  • a) = √(25×10) - √(100×2) = 5√10 - 10√2
    b) = √147 + 2√98 = √(49×3) + 2√(49×2)
    = 7√3 + 2(7)√2
    = 7(√3+2√2)
    c) 2√242 + 3√121 = 2√(121×2) + 3(11)
    = 2(11)√2 + 33
    = 22√2 + 33
    d)5/6 √18 - 1/5 √50
    = 5/6 √9×2 - 1/5 √25×2
    = (5/6)(3)√2 - (1/5)(5)√2
    = 5/2 √2 - √2
    = (5/2 - 1)√2
    = 3/2 √2
  • a. √250 - √200
    = √2x5³ - √2³x5²
    = 5√2x5 - 2x5√2
    = 5√10 - 10√2

    b. √147 + 2√98
    = √3x7² + 2√2x7²
    = 7√3 + 2x7√2
    = 7√3 + 14√2

    c. 2√242 + 3√121
    = 2√2x11² + 3√11²
    = 2x11√2 + 3x11
    = 22√2 + 33

    d. 5/6√18 - 2/5√50
    = 5/6√2x3² - 2/5√2x5²
    = 5/6 x 3√2 - 2/5 x 5√2
    = 15/6√2 - 10/5√2
    = 75/30√2 - 60/30√2
    = 15/30√2
    = 1/2√2

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