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Simplify the expression: sqrt(4m)

Mathematics

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Answer

2m2\sqrt{m}

Step-by-step solution

3 steps

Here's the simplification of the expression:

The expression is 4m\sqrt{4m}.

  1. Apply the property of square roots, ab=a⋅b\sqrt{ab} = \sqrt{a} \cdot \sqrt{b}.

    4m=4⋅m\sqrt{4m} = \sqrt{4} \cdot \sqrt{m}
  2. Calculate the square root of 4.

    4=2\sqrt{4} = 2
  3. Substitute the value back into the expression.

    2⋅m=2m2 \cdot \sqrt{m} = 2\sqrt{m}

    The simplified expression is 2m2\sqrt{m}.

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