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10 December, 02:07

Selesaikan bentuk operasi penjumlahan akar berikut!

a. √8 + √18 + √32

b. √98 + √50 + √72

c.√108 + √27 + √75

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Answers (1)
  1. 10 December, 02:08
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    A) √8+√18+√32

    First factorize each radical term and then simplify.

    √8=√2x2x2 = √2 x √2² = 2√2

    √18=√2x3x3 = √2 x √3² = 3√2

    and

    √32=√2x4x4=√2x√4² = 4√2

    We get

    2√2+3√2+4√2

    Add similar terms.

    => (2+3+4) √2

    =9√2

    Answer: 9√2

    b)

    √98+√50+√72

    Factorize each term and then simplify.

    √98 = √2x7x7 = √2 x √7² = 7√2

    √50 = √2x5x5 = √2 x √5² = 5√2

    and

    √72=√2x2x2x3x3 = √2² x √3² x √2 = 2x3 √2=6√2

    we get

    7√2 + 5√2 + 6√2

    Add like terms

    (7+5+6) √2

    = 18√2

    Answer: 18√2

    c)

    √108 + √27 + √75

    Factorize each term and simplify.

    √108 = √2x2x3x3x3 = √2² x √3² x √3 = 2 x 3 x √3 = 6√3

    √27 = √3x3x3 = √3² x √3 = 3√3

    and

    √75=√3x5x5 = √5² x √3 = 5√3

    We get

    6√3 + 3√3 + 5√3

    Add like terms

    (6+3+5) √3

    =14√3

    Answer: 14√3
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