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Multiply. Write your answer in simplest form. \newline5(−4−5)\sqrt{5}(-4 - \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5(−4−5)\sqrt{5}(-4 - \sqrt{5})
  1. Distribute 5\sqrt{5}: Distribute 5\sqrt{5} to both terms inside the parentheses.5(−4−5)=5⋅(−4)−5⋅5\sqrt{5}(-4 - \sqrt{5}) = \sqrt{5} \cdot (-4) - \sqrt{5} \cdot \sqrt{5}
  2. Multiply 5\sqrt{5} by −4-4: Multiply 5\sqrt{5} by −4-4.5\sqrt{5}(−4(-4)=−45= -4\sqrt{5}
  3. Multiply 5\sqrt{5} by 5\sqrt{5}: Multiply 5\sqrt{5} by 5\sqrt{5}.\newline5×5\sqrt{5}\times\sqrt{5}\newline= 55
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−45−5-4\sqrt{5} - 5

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