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

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Full solution

Q. Multiply. Write your answer in simplest form. \newline−2(2+3)-\sqrt{2}(2 + \sqrt{3})
  1. Distribute −2-\sqrt{2}: Distribute −2-\sqrt{2} to both terms inside the parentheses.−2(2+3)=−2⋅2+−2⋅3-\sqrt{2}(2 + \sqrt{3}) = -\sqrt{2}\cdot 2 + -\sqrt{2}\cdot \sqrt{3}
  2. Multiply −2-\sqrt{2} by 22: Multiply −2-\sqrt{2} by 22.−2×2=−22-\sqrt{2} \times 2 = -2\sqrt{2}
  3. Multiply −2-\sqrt{2} by 3\sqrt{3}: Multiply −2-\sqrt{2} by 3\sqrt{3}.\newline−2×3-\sqrt{2} \times \sqrt{3}\newline= −2×3-\sqrt{2 \times 3}\newline= −6-\sqrt{6}
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−22−6-2\sqrt{2} - \sqrt{6}

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