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Multiply. Write your answer in simplest form. \newline3(8−2)\sqrt{3}(8 - \sqrt{2})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline3(8−2)\sqrt{3}(8 - \sqrt{2})
  1. Distribute 3\sqrt{3}: Distribute 3\sqrt{3} across the terms inside the parentheses.3(8−2)=3×8−3×2\sqrt{3}(8 - \sqrt{2}) = \sqrt{3} \times 8 - \sqrt{3} \times \sqrt{2}
  2. Multiply by 88: Multiply 3\sqrt{3} by 88.3×8=83\sqrt{3} \times 8 = 8\sqrt{3}
  3. Apply product rule: Apply the product rule of radicals to 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 results from the previous steps to write the expression in simplest form. 83−68\sqrt{3} - \sqrt{6}

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