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

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Full solution

Q. Multiply. Write your answer in simplest form. \newline2(−2−2)\sqrt{2}(-2 - \sqrt{2})
  1. Distribute 2\sqrt{2}: Distribute 2\sqrt{2} to both terms inside the parentheses.2(−2−2)=2⋅(−2)−2⋅2\sqrt{2}(-2 - \sqrt{2}) = \sqrt{2} \cdot (-2) - \sqrt{2} \cdot \sqrt{2}
  2. Multiply 2\sqrt{2} by −2-2: Multiply 2\sqrt{2} by −2-2.2\sqrt{2}(−2(-2)=−22= -2\sqrt{2}
  3. Multiply 2\sqrt{2} by 2\sqrt{2}: Multiply 2\sqrt{2} by 2\sqrt{2}.2\sqrt{2}⋅\cdot2\sqrt{2}=2= 2
  4. Combine results: Combine the results from Step 22 and Step 33.\newline−22−2-2\sqrt{2} - 2

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