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Subtract. Write your answer in simplest form.\newline−45−95-4\sqrt{5} - 9\sqrt{5}

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Full solution

Q. Subtract. Write your answer in simplest form.\newline−45−95-4\sqrt{5} - 9\sqrt{5}
  1. Combine Like Terms: Combine the like terms −45-4\sqrt{5} and −95-9\sqrt{5}. Since both terms have the same radical part, 5\sqrt{5}, we can combine them by adding their coefficients. −45−95=(−4−9)5-4\sqrt{5} - 9\sqrt{5} = (-4 - 9)\sqrt{5}
  2. Simplify Expression: Simplify the expression (−4−9)5(-4 - 9)\sqrt{5}.\newlineCalculate the sum of the coefficients −4-4 and −9-9.\newline(−4−9)=−13(-4 - 9) = -13\newlineSo, the expression becomes −135-13\sqrt{5}.
  3. Final Answer: Write the final answer in simplest form.\newlineThe expression −135-13\sqrt{5} is already in its simplest form, as the radical cannot be simplified further and the coefficient is an integer.

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