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

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5(5−5)\sqrt{5}(5 - \sqrt{5})
  1. Distribute 5\sqrt{5}: Distribute 5\sqrt{5} to both terms inside the parentheses.5(5−5)=5×5−5×5\sqrt{5}(5 - \sqrt{5}) = \sqrt{5}\times 5 - \sqrt{5}\times\sqrt{5}
  2. Multiply by 55: Multiply 5\sqrt{5} by 55.5×5=5×5\sqrt{5}\times 5 = 5\times\sqrt{5}
  3. Multiply 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. 55−55\sqrt{5} - 5

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