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Multiply. Write your answer in simplest form. \newline5(−2−5)\sqrt{5}(-2 - \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5(−2−5)\sqrt{5}(-2 - \sqrt{5})
  1. Distribute 5\sqrt{5}: Distribute 5\sqrt{5} to both terms inside the parentheses.5(−2−5)=5×−2+5×(−5)\sqrt{5}(-2 - \sqrt{5}) = \sqrt{5} \times -2 + \sqrt{5} \times (-\sqrt{5})
  2. Multiply by −2-2: Multiply 5\sqrt{5} by −2-2.5×−2=−25\sqrt{5} \times -2 = -2\sqrt{5}
  3. Multiply by −5-\sqrt{5}: Multiply 5\sqrt{5} by −5-\sqrt{5}.5×(−5)=−5×5=−25=−5\sqrt{5} \times (-\sqrt{5}) = -\sqrt{5 \times 5} = -\sqrt{25} = -5
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−25+(−5)-2\sqrt{5} + (-5)\newline= −25−5-2\sqrt{5} - 5

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