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Multiply. Write your answer in simplest form.\newline−5(−7+2)-\sqrt{5}(-7 + \sqrt{2})

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Full solution

Q. Multiply. Write your answer in simplest form.\newline−5(−7+2)-\sqrt{5}(-7 + \sqrt{2})
  1. Distribute to both terms: Distribute −5-\sqrt{5} to both terms inside the parentheses.−5(−7+2)=−5×−7+−5×2-\sqrt{5}(-7 + \sqrt{2}) = -\sqrt{5} \times -7 + -\sqrt{5} \times \sqrt{2}
  2. Multiply by −7-7: Multiply −5-\sqrt{5} by −7-7.\newline−5×−7=75-\sqrt{5} \times -7 = 7\sqrt{5}
  3. Multiply by 2\sqrt{2}: Multiply −5-\sqrt{5} by 2\sqrt{2}.\newline−5×2=−5×2=−10-\sqrt{5} \times \sqrt{2} = -\sqrt{5 \times 2} = -\sqrt{10}
  4. Combine the results: Combine the results from Step 22 and Step 33.\newline75−107\sqrt{5} - \sqrt{10}

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