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Subtract. Write your answer in simplest form. \newline85−558\sqrt{5} - 5\sqrt{5}

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Full solution

Q. Subtract. Write your answer in simplest form. \newline85−558\sqrt{5} - 5\sqrt{5}
  1. Combine coefficients: 85−558 \sqrt{5} - 5 \sqrt{5}\newlineIdentify the expression that combines the coefficients.\newline85−55=(8−5)58 \sqrt{5} - 5 \sqrt{5} = (8 - 5) \sqrt{5}
  2. Simplify expression: Simplify: (8−5)5(8 - 5) \sqrt{5}(8−5)5=35(8 - 5) \sqrt{5} = 3 \sqrt{5}This is the simplest form since 33 and 55 are both prime numbers and cannot be simplified further.

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