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Multiply. Write your answer in simplest form.\newline−2(4+5)-\sqrt{2}(4 + \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form.\newline−2(4+5)-\sqrt{2}(4 + \sqrt{5})
  1. Distribute −2-\sqrt{2}: Distribute −2-\sqrt{2} to both terms inside the parentheses.−2(4+5)=−2⋅4+−2⋅5-\sqrt{2}(4 + \sqrt{5}) = -\sqrt{2}\cdot 4 + -\sqrt{2}\cdot \sqrt{5}
  2. Multiply −2-\sqrt{2} by 44: Multiply −2-\sqrt{2} by 44.\newline−2×4-\sqrt{2} \times 4\newline=−42= -4\sqrt{2}
  3. Multiply −2-\sqrt{2} by 5\sqrt{5}: Multiply −2-\sqrt{2} by 5\sqrt{5}.\newline−2×5-\sqrt{2} \times \sqrt{5}\newline= −2×5-\sqrt{2 \times 5}\newline= −10-\sqrt{10}
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−42−10-4\sqrt{2} - \sqrt{10}

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