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Subtract. Write your answer in simplest form. \newline22−622\sqrt{2} - 6\sqrt{2}

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Full solution

Q. Subtract. Write your answer in simplest form. \newline22−622\sqrt{2} - 6\sqrt{2}
  1. Combine coefficients of square roots: 22−622 \sqrt{2} - 6 \sqrt{2}\newlineIdentify the expression that combines the coefficients of the square root terms.\newline22−62=(2−6)22 \sqrt{2} - 6 \sqrt{2} = (2 - 6) \sqrt{2}
  2. Perform subtraction: Simplify: (2−6)2(2 - 6) \sqrt{2} Perform the subtraction within the parentheses. (2−6)2=−42(2 - 6) \sqrt{2} = -4 \sqrt{2}
  3. Write final answer: Write the final answer in simplest form.\newlineThe expression −42-4 \sqrt{2} is already in its simplest form.

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