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Multiply. Write your answer in simplest form. \newline3(43)\sqrt{3}(4 - \sqrt{3})

Full solution

Q. Multiply. Write your answer in simplest form. \newline3(43)\sqrt{3}(4 - \sqrt{3})
  1. Distribute 3\sqrt{3}: Distribute 3\sqrt{3} across the terms inside the parentheses.3(43)=3×43×3\sqrt{3}(4 - \sqrt{3}) = \sqrt{3} \times 4 - \sqrt{3} \times \sqrt{3}
  2. Multiply by 44: Multiply 3\sqrt{3} by 44.3×4=43\sqrt{3} \times 4 = 4\sqrt{3}
  3. Multiply by 3\sqrt{3}: Multiply 3\sqrt{3} by 3\sqrt{3}.3×3=3\sqrt{3} \times \sqrt{3} = 3
  4. Combine results: Combine the results from the previous steps. 4334\sqrt{3} - 3
  5. Check for simplification: Check if the expression can be simplified further.\newlineThe expression 4334\sqrt{3} - 3 is already in its simplest form.

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