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Multiply. Write your answer in simplest form. \newline2(−10−3)\sqrt{2}(-10 - \sqrt{3})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline2(−10−3)\sqrt{2}(-10 - \sqrt{3})
  1. Distribute 2\sqrt{2}: Distribute 2\sqrt{2} across the terms inside the parentheses.2(−10−3)=2×−10+2×−3\sqrt{2}(-10 - \sqrt{3}) = \sqrt{2} \times -10 + \sqrt{2} \times -\sqrt{3}
  2. Multiply by −10-10: Multiply 2\sqrt{2} by −10-10.\newline2×−10=−102\sqrt{2} \times -10 = -10\sqrt{2}
  3. Multiply by −3-\sqrt{3}: 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 the products: Combine the two products to get the final answer.\newline−102−6-10\sqrt{2} - \sqrt{6}

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