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Multiply. Write your answer in simplest form. \newline2(−8−3)\sqrt{2}(-8 - \sqrt{3})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline2(−8−3)\sqrt{2}(-8 - \sqrt{3})
  1. Distribute 2\sqrt{2}: We need to distribute 2\sqrt{2} across the terms inside the parentheses.2(−8−3)=2×−8+2×−3\sqrt{2}(-8 - \sqrt{3}) = \sqrt{2} \times -8 + \sqrt{2} \times -\sqrt{3}
  2. Multiply by −8-8: Now we multiply 2\sqrt{2} by −8-8.\newline2×−8=−82\sqrt{2} \times -8 = -8\sqrt{2}
  3. Multiply by −3-\sqrt{3}: Next, we multiply 2\sqrt{2} by −3-\sqrt{3}.\newline2×−3=−2×3=−6\sqrt{2} \times -\sqrt{3} = -\sqrt{2 \times 3} = -\sqrt{6}
  4. Combine products: Combine the two products to get the final answer.\newline−82−6-8\sqrt{2} - \sqrt{6}

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