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Multiply. Write your answer in simplest form. \newline−3(10+5)-\sqrt{3}(10 + \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline−3(10+5)-\sqrt{3}(10 + \sqrt{5})
  1. Distribute −3-\sqrt{3}: Distribute −3-\sqrt{3} to both terms inside the parentheses.−3(10+5)=−3×10+−3×5-\sqrt{3}(10 + \sqrt{5}) = -\sqrt{3}\times 10 + -\sqrt{3}\times \sqrt{5}
  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 5\sqrt{5}: Multiply −3-\sqrt{3} by 5\sqrt{5}.\newline−3×5-\sqrt{3} \times \sqrt{5}\newline= −3×5-\sqrt{3 \times 5}\newline= −15-\sqrt{15}
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−103−15-10\sqrt{3} - \sqrt{15}

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