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Simplify: sqrt(72) - sqrt(32)

Mathematics

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Answer

222\sqrt{2}

Step-by-step solution

2 steps

Here are the solutions to your assignment:

Section A

  1. Simplify: 72−32\sqrt{72} - \sqrt{32}
  1. Simplify each surd.

    $$
    \sqrt{72} = \sqrt{36 \times 2} = 6\sqrt{2}
    $$
    $$
    \sqrt{32} = \sqrt{16 \times 2} = 4\sqrt{2}
    $$
    
  2. Subtract the simplified surds.

    $$
    6\sqrt{2} - 4\sqrt{2} = (6-4)\sqrt{2} = 2\sqrt{2}
    $$
    The simplified expression is $\boxed{2\sqrt{2}}$.
    

    2.

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