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Multiply. Write your answer in simplest form. \newline2(5−2)\sqrt{2}(5 - \sqrt{2})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline2(5−2)\sqrt{2}(5 - \sqrt{2})
  1. Distribute 2\sqrt{2}: Distribute 2\sqrt{2} across the terms inside the parentheses.2(5−2)=2×5−2×2\sqrt{2}(5 - \sqrt{2}) = \sqrt{2} \times 5 - \sqrt{2} \times \sqrt{2}
  2. Multiply by 55: Multiply 2\sqrt{2} by 55.2×5=52\sqrt{2} \times 5 = 5\sqrt{2}
  3. Multiply by 2\sqrt{2}: Multiply 2\sqrt{2} by 2\sqrt{2}.2×2=2\sqrt{2} \times \sqrt{2} = 2
  4. Combine results: Combine the results from the previous steps. 52−25\sqrt{2} - 2

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