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Multiply. Write your answer in simplest form. \newline5(55)-\sqrt{5}(-5 - \sqrt{5})

Full solution

Q. Multiply. Write your answer in simplest form. \newline5(55)-\sqrt{5}(-5 - \sqrt{5})
  1. Distribute and Multiply: Distribute 5-\sqrt{5} to both terms inside the parentheses.-\sqrt{\(5\)}(\(-5 - \sqrt{55}) = -\sqrt{55} \times (5-5) - \sqrt{55} \times (-\sqrt{55})
  2. Multiply First Term: Multiply the first term. 5×(5)=55-\sqrt{5} \times (-5) = 5\sqrt{5}
  3. Multiply Second Term: Multiply the second term using the product rule of radicals.\newline-\sqrt{\(5\)} \times (-\sqrt{\(5\)}) = \sqrt{\(5\)} \times \sqrt{\(5\)} = \(5
  4. Combine Results: Combine the results from Step 22 and Step 33. 55+55\sqrt{5} + 5

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