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Multiply. Write your answer in simplest form. \newline−5(8−5)-\sqrt{5}(8 - \sqrt{5})

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Full solution

Q. Multiply. Write your answer in simplest form. \newline−5(8−5)-\sqrt{5}(8 - \sqrt{5})
  1. Distribute −5-\sqrt{5}: Distribute −5-\sqrt{5} to both terms inside the parentheses.−5(8−5)=−5×8+5×5-\sqrt{5}(8 - \sqrt{5}) = -\sqrt{5} \times 8 + \sqrt{5} \times \sqrt{5}
  2. Simplify multiplication: Simplify the multiplication of the square root of 55 with itself.5×5=5\sqrt{5} \times \sqrt{5} = 5
  3. Combine results: Combine the results from Step 11 and Step 22.\newline=−8×5+5= -8 \times \sqrt{5} + 5

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