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Multiply. Write your answer in simplest form. \newline3(9+3)\sqrt{3}(9 + \sqrt{3})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline3(9+3)\sqrt{3}(9 + \sqrt{3})
  1. Distribute 3\sqrt{3}: Distribute 3\sqrt{3} to both terms inside the parentheses.3(9+3)=3⋅9+3⋅3\sqrt{3}(9 + \sqrt{3}) = \sqrt{3}\cdot9 + \sqrt{3}\cdot\sqrt{3}
  2. Multiply by 99: Multiply 3\sqrt{3} by 99.3×9=9×3\sqrt{3}\times 9 = 9\times\sqrt{3}
  3. Multiply by 3\sqrt{3}: Multiply 3\sqrt{3} by 3\sqrt{3}.3×3=3\sqrt{3} \times \sqrt{3} = 3This is because the square root of a number, multiplied by itself, gives the original number.
  4. Combine results: Combine the results from Step 22 and Step 33. 93+39\sqrt{3} + 3

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