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Multiply. Write your answer in simplest form. \newline3(4+5)\sqrt{3}(4 + \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline3(4+5)\sqrt{3}(4 + \sqrt{5})
  1. Distribute 3\sqrt{3}: Distribute 3\sqrt{3} to both terms inside the parentheses.3(4+5)=3⋅4+3⋅5\sqrt{3}(4 + \sqrt{5}) = \sqrt{3}\cdot 4 + \sqrt{3}\cdot \sqrt{5}
  2. Multiply by 44: Multiply 3\sqrt{3} by 44.3×4=43\sqrt{3} \times 4 = 4\sqrt{3}
  3. Multiply by 5\sqrt{5}: Multiply 3\sqrt{3} by 5\sqrt{5}.3×5=3×5=15\sqrt{3} \times \sqrt{5} = \sqrt{3 \times 5} = \sqrt{15}
  4. Combine products: Combine the two products from the previous steps. 43+154\sqrt{3} + \sqrt{15}

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