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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 −10-10: Multiply −3-\sqrt{3} by −10-10.\newline−3×(−10)=103-\sqrt{3} \times (-10) = 10\sqrt{3}
  3. Multiply −3-\sqrt{3} by 5\sqrt{5}: Multiply −3-\sqrt{3} by 5\sqrt{5}.\newline−3×5=−3×5=−15-\sqrt{3} \times \sqrt{5} = -\sqrt{3 \times 5} = -\sqrt{15}
  4. Combine results: Combine the results from Step 22 and Step 33. 103−1510\sqrt{3} - \sqrt{15}

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