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

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5(2+2)\sqrt{5}(2 + \sqrt{2})
  1. Distribute 5\sqrt{5}: Distribute 5\sqrt{5} to both terms inside the parentheses.5(2+2)=5⋅2+5⋅2\sqrt{5}(2 + \sqrt{2}) = \sqrt{5}\cdot2 + \sqrt{5}\cdot\sqrt{2}
  2. Multiply by 22: Multiply 5\sqrt{5} by 22.5×2=25\sqrt{5}\times 2 = 2\sqrt{5}
  3. Multiply by 2\sqrt{2}: Multiply 5\sqrt{5} by 2\sqrt{2}.5×2=5×2=10\sqrt{5}\times\sqrt{2} = \sqrt{5\times2} = \sqrt{10}
  4. Combine results: Combine the results from Step 22 and Step 33. 25+102\sqrt{5} + \sqrt{10}

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