intermediate algebra

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Simplify the following expression. square root-8 square root -24

  • intermediate algebra -

    sqrt -8 = i sqrt 8 = 2 sqrt 2 i
    sqrt -24 = i sqrt 24 = i sqrt(8*3) = 2i sqrt2 sqrt3
    so

    2 i sqrt2 * 2 i sqrt2 sqrt3
    =
    -4*2 sqrt 3
    =
    -8 sqrt 3

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