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Multiply. Write your answer in simplest form. \newline3(10−5)\sqrt{3}(10 - \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline3(10−5)\sqrt{3}(10 - \sqrt{5})
  1. Distribute 3\sqrt{3}: First, distribute 3\sqrt{3} across the 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 by 1010: Now, multiply 3\sqrt{3} by 1010.3×10=103\sqrt{3} \times 10 = 10\sqrt{3}
  3. Multiply by 5\sqrt{5}: Next, multiply 3\sqrt{3} by 5\sqrt{5}.3×5=3×5=15\sqrt{3} \times \sqrt{5} = \sqrt{3 \times 5} = \sqrt{15}
  4. Combine products: Combine the two products to get the final expression. 103−1510\sqrt{3} - \sqrt{15}

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