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Multiply. Write your answer in simplest form. \newline5(−6−5)\sqrt{5}(-6 - \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5(−6−5)\sqrt{5}(-6 - \sqrt{5})
  1. Distribute 5\sqrt{5}: Distribute 5\sqrt{5} to both terms inside the parentheses.5(−6−5)=5⋅(−6)−5⋅5\sqrt{5}(-6 - \sqrt{5}) = \sqrt{5} \cdot (-6) - \sqrt{5} \cdot \sqrt{5}
  2. Multiply 5\sqrt{5} by −6-6: Multiply 5\sqrt{5} by −6-6.\newline5×(−6)\sqrt{5} \times (-6)\newline=−6×5= -6 \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−6×5−5-6 \times \sqrt{5} - 5

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