Short Answer

Applying Radical Properties in Land Surveying

An apprentice land surveyor is measuring a triangular parcel for a community park. The field notes record one of the boundary lengths as 98\sqrt{98} meters. To log this measurement into the municipal database, it must be simplified using the standard algebraic procedure.

  1. Recall and state the name of the mathematical property that allows you to rewrite 98\sqrt{98} as the product of two separate square roots: 492\sqrt{49} \cdot \sqrt{2}.
  2. State the largest perfect square factor of 98.
  3. Provide the final simplified form of this measurement, ensuring the integer is written in front of the radical (e.g., in the form aba\sqrt{b}).

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Updated 2026-06-01

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