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Multiply. Write your answer in simplest form. \newline5(−10−3)\sqrt{5}(-10 - \sqrt{3})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5(−10−3)\sqrt{5}(-10 - \sqrt{3})
  1. Distribute 5\sqrt{5}: Distribute 5\sqrt{5} to both terms inside the parentheses.5(−10−3)\sqrt{5}(-10 - \sqrt{3}) = 5×(−10)+5×(−3)\sqrt{5} \times (-10) + \sqrt{5} \times (-\sqrt{3})
  2. Multiply by −10-10: Multiply 5\sqrt{5} by −10-10.\newline5×(−10)=−10×5\sqrt{5} \times (-10) = -10 \times \sqrt{5}
  3. Multiply by −3-\sqrt{3}: Multiply 5\sqrt{5} by −3-\sqrt{3}.5×(−3)=−5×3=−15\sqrt{5} \times (-\sqrt{3}) = -\sqrt{5 \times 3} = -\sqrt{15}
  4. Combine to get final answer: Combine the two products to get the final answer. −10×5−15-10 \times \sqrt{5} - \sqrt{15}

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