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Multiply. Write your answer in simplest form.\newline2(7+3)-\sqrt{2}(7 + \sqrt{3})

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Q. Multiply. Write your answer in simplest form.\newline2(7+3)-\sqrt{2}(7 + \sqrt{3})
  1. Distribute 2-\sqrt{2}: Distribute 2-\sqrt{2} to both terms inside the parentheses.2(7+3)=27+23-\sqrt{2}(7 + \sqrt{3}) = -\sqrt{2}\cdot 7 + -\sqrt{2}\cdot \sqrt{3}
  2. Multiply 2-\sqrt{2} by 77: Multiply 2-\sqrt{2} by 77.\newline2×7-\sqrt{2}\times 7\newline= 7×2-7\times\sqrt{2}
  3. Multiply 2-\sqrt{2} by 3\sqrt{3}: Multiply 2-\sqrt{2} by 3\sqrt{3}.\newline2×3-\sqrt{2}\times\sqrt{3}\newline= 2×3-\sqrt{2\times3}\newline= 6-\sqrt{6}
  4. Combine results: Combine the results from Step 22 and Step 33.\newline726-7\sqrt{2} - \sqrt{6}

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