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Show all work to multiply quantity 3 plus the square root of negative 16 end quantity times quantity 6 minus the square root of negative 64 end quantity (10 points)

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mhanifa

Answer:

  • 50

Step-by-step explanation:

Quantity 3 plus the square root of negative 16 end quantity:

  • 3 + √-16

Quantity 6 minus the square root of negative 64 end quantity:

  • 6 - √-64

Multiply the two above:

  • (3 + √-16)(6 - √-64) =
  • (3 + 4√-1)(6 - 8√-1) =
  • (3 + 4i)(6 - 8i) =
  • 3*6 - 3*8i + 6*4i - 4i*8i =
  • 18 - 24i + 24i - 32i² =
  • 18 - 32(-1) =
  • 18 + 32 =
  • 50

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