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

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5(−10−5)\sqrt{5}(-10 - \sqrt{5})
  1. Distribute 5\sqrt{5}: Distribute 5\sqrt{5} to both terms inside the parentheses.5(−10−5)=5(−10)−55\sqrt{5}(-10 - \sqrt{5}) = \sqrt{5}(-10) - \sqrt{5}\sqrt{5}
  2. Multiply 5\sqrt{5} by −10-10: Multiply 5\sqrt{5} by −10-10.\newline5×(−10)\sqrt{5} \times (-10)\newline= −10×5-10 \times \sqrt{5}
  3. Multiply 5\sqrt{5} by 5\sqrt{5}: Multiply 5\sqrt{5} by 5\sqrt{5}.5×5\sqrt{5} \times \sqrt{5}=5= 5
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−10×5−5-10 \times \sqrt{5} - 5

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