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Multiply. Write your answer in simplest form. \newline2(−9−5)\sqrt{2}(-9 - \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline2(−9−5)\sqrt{2}(-9 - \sqrt{5})
  1. Distribute 2\sqrt{2}: We need to distribute 2\sqrt{2} across the terms inside the parentheses.2(−9−5)=2×−9+2×−5\sqrt{2}(-9 - \sqrt{5}) = \sqrt{2} \times -9 + \sqrt{2} \times -\sqrt{5}
  2. Multiply by −9-9: Now we multiply 2\sqrt{2} by −9-9.\newline2×−9=−92\sqrt{2} \times -9 = -9\sqrt{2}
  3. Multiply by −5-\sqrt{5}: Next, we multiply 2\sqrt{2} by −5-\sqrt{5}.2×−5=−2×5=−10\sqrt{2} \times -\sqrt{5} = -\sqrt{2 \times 5} = -\sqrt{10}
  4. Combine the products: Combine the two products to get the final answer.\newline−92−10-9\sqrt{2} - \sqrt{10}

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