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Subtract. Write your answer in simplest form.\newline−42−32-4\sqrt{2} - 3\sqrt{2}

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Full solution

Q. Subtract. Write your answer in simplest form.\newline−42−32-4\sqrt{2} - 3\sqrt{2}
  1. Identify coefficients: −42−(−32)-4 \sqrt{2} - (-3 \sqrt{2})\newlineIdentify the expression that combines the coefficients.\newline−42−(−32)=(−4−(−3))2-4 \sqrt{2} - (-3 \sqrt{2}) = (-4 - (-3)) \sqrt{2}
  2. Combine coefficients: Simplify: (−4−(−3))2(-4 - (-3)) \sqrt{2}(−4−(−3))2(-4 - (-3)) \sqrt{2}=(−4+3)2= (-4 + 3) \sqrt{2}=−12= -1 \sqrt{2}=−2= -\sqrt{2}

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