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Multiply. Write your answer in simplest form. \newline3(4−2)\sqrt{3}(4 - \sqrt{2})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline3(4−2)\sqrt{3}(4 - \sqrt{2})
  1. Distribute 3\sqrt{3}: We need to distribute 3\sqrt{3} across the terms inside the parentheses.3(4−2)=3×4−3×2\sqrt{3}(4 - \sqrt{2}) = \sqrt{3} \times 4 - \sqrt{3} \times \sqrt{2}
  2. Multiply by 44: Now we multiply 3\sqrt{3} by 44.3×4=43\sqrt{3} \times 4 = 4\sqrt{3}
  3. Multiply by 2\sqrt{2}: Next, we multiply 3\sqrt{3} by 2\sqrt{2}.3×2=3×2=6\sqrt{3} \times \sqrt{2} = \sqrt{3 \times 2} = \sqrt{6}
  4. Combine results: Combine the two results to get the final expression. 43−64\sqrt{3} - \sqrt{6}

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