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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.\newline5(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 \times 3} = -\sqrt{15}
  4. Combine to get final answer: Combine the results from the previous steps to get the final answer. 35−153\sqrt{5} - \sqrt{15}

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