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Multiply. Write your answer in simplest form. \newline2(6−3)\sqrt{2}(6 - \sqrt{3})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline2(6−3)\sqrt{2}(6 - \sqrt{3})
  1. Distribute 2\sqrt{2}: We need to distribute 2\sqrt{2} across the terms inside the parentheses.2(6−3)=2×6−2×3\sqrt{2}(6 - \sqrt{3}) = \sqrt{2} \times 6 - \sqrt{2} \times \sqrt{3}
  2. Multiply by 66: Now we multiply 2\sqrt{2} by 66.2×6=62\sqrt{2} \times 6 = 6\sqrt{2}
  3. Multiply by 3\sqrt{3}: Next, we multiply 2\sqrt{2} by 3\sqrt{3}.2×3=2×3=6\sqrt{2} \times \sqrt{3} = \sqrt{2 \times 3} = \sqrt{6}
  4. Combine results: Combine the two results to get the final expression. 62−66\sqrt{2} - \sqrt{6}

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