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How would I simplify (3 sqrt -5 + 2)(4 sqrt -12 – 1)?

I think that I would have to use the distributive property, but does anyone know the steps to solve this problem?

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3 answers
  1. umm, yes - use the distributive property.
    (3√5 + 2)(4√-12 - 1)
    (3√5 + 2)(8√-3 - 1)
    (3√5)(8√-3) + (3√5)(-1) + (2)(8√-3) + (2)(-1)
    24√-15 - 3√5 + 16√-3 - 2

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    oobleck
  2. Thank you! Would the end answer be 18?

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  3. NO
    How could you possibly equate all those square roots and imaginary numbers to 18?

    Although I do see I made a typo. I missed the -5.
    (3√-5 + 2)(4√-12 - 1)
    (3√-5 + 2)(8√-3 - 1)
    (3√-5)(8√-3) + (3√-5)(-1) + (2)(8√-3) + (2)(-1)
    24√15 - 3√-5 + 16√-3 - 2

    so why do you think the answer is 18?

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    oobleck

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