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Multiply. Write your answer in simplest form. \newline−3(−5+2)-\sqrt{3}(-5 + \sqrt{2})

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Simplify radical expressions using the distributive propertyright chevron icon

Full solution

Q. Multiply. Write your answer in simplest form. \newline−3(−5+2)-\sqrt{3}(-5 + \sqrt{2})
  1. Distribute −3-\sqrt{3}: Distribute −3-\sqrt{3} to both terms inside the parentheses.−3(−5+2)=−3(−5)+−32-\sqrt{3}(-5 + \sqrt{2}) = -\sqrt{3}(-5) + -\sqrt{3}\sqrt{2}
  2. Multiply −3-\sqrt{3} by −5-5: Multiply −3-\sqrt{3} by −5-5.\newline−3⋅(−5)-\sqrt{3}\cdot(-5)\newline=53= 5\sqrt{3}
  3. Multiply −3-\sqrt{3} by 2\sqrt{2}: Multiply −3-\sqrt{3} by 2\sqrt{2}.\newline−3×2-\sqrt{3}\times\sqrt{2}\newline= −3×2-\sqrt{3\times2}\newline= −6-\sqrt{6}
  4. Combine results: Combine the results from Step 22 and Step 33.\newline53−65\sqrt{3} - \sqrt{6}

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