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Multiply. Write your answer in simplest form. \newline5(−8−5)\sqrt{5}(-8 - \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5(−8−5)\sqrt{5}(-8 - \sqrt{5})
  1. Distribute 5\sqrt{5}: Distribute 5\sqrt{5} to both terms inside the parentheses.\newline5(−8−5)\sqrt{5}(-8 - \sqrt{5})\newline= 5×(−8)−5×5\sqrt{5} \times (-8) - \sqrt{5} \times \sqrt{5}
  2. Multiply first term: Multiply the first term. 5×(−8)=−8×5\sqrt{5} \times (-8) = -8 \times \sqrt{5}
  3. Multiply second term: Multiply the second term. 5×5=5\sqrt{5} \times \sqrt{5} = 5 Since the square root of a number times itself is the number.
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−8×5−5-8 \times \sqrt{5} - 5

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