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

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Full solution

Q. Multiply. Write your answer in simplest form.\newline−3(10−2)-\sqrt{3}(10 - \sqrt{2})
  1. Distribute −3-\sqrt{3}: Distribute −3-\sqrt{3} to both terms inside the parentheses.-\sqrt{\(3\)}(\(10 - \sqrt{22}) = -\sqrt{33}\times 1010 - \sqrt{33}\times(-\sqrt{22})
  2. Multiply −3-\sqrt{3} by 1010: Multiply −3-\sqrt{3} by 1010.\newline−3×10-\sqrt{3} \times 10\newline=−103= -10\sqrt{3}
  3. Multiply −3-\sqrt{3} by −2-\sqrt{2}: Multiply −3-\sqrt{3} by −2-\sqrt{2}.
    −3×(−2)-\sqrt{3} \times (-\sqrt{2})
    = 3×2\sqrt{3} \times \sqrt{2}
    = 3×2\sqrt{3 \times 2}
    = 6\sqrt{6}
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−103+6-10\sqrt{3} + \sqrt{6}

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