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Multiply. Write your answer in simplest form. \newline5(3+3)\sqrt{5}(3 + \sqrt{3})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5(3+3)\sqrt{5}(3 + \sqrt{3})
  1. Distribute 5\sqrt{5}: Distribute 5\sqrt{5} to both terms inside the parentheses.5(3+3)=5×3+5×3\sqrt{5}(3 + \sqrt{3}) = \sqrt{5}\times3 + \sqrt{5}\times\sqrt{3}
  2. Multiply 5\sqrt{5} by 33: Multiply 5\sqrt{5} by 33.\newline5×3=35\sqrt{5}\times 3 = 3\sqrt{5}
  3. Multiply 5\sqrt{5} by 3\sqrt{3}: Multiply 5\sqrt{5} by 3\sqrt{3}.\newline5×3=5×3=15\sqrt{5}\times\sqrt{3} = \sqrt{5\times3} = \sqrt{15}
  4. Combine results: Combine the results from Step 22 and Step 33. 35+153\sqrt{5} + \sqrt{15}

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