Essay

Documenting Radical Quotient Simplification Procedures

An entry-level operations estimator at an industrial logistics firm is drafting a standard operating procedure (SOP) to help new hires verify automated formulas in warehouse databases. One of the database formulas contains the expression 128m92m\frac{\sqrt{128m^9}}{\sqrt{2m}}, which needs to be simplified manually.

From memory, describe the step-by-step procedure to simplify this quotient of square roots. In your essay, you must:

  1. Name the specific property of square roots used in the first step to combine the numerator and denominator.
  2. Explain how to simplify the fraction inside the combined radical.
  3. State the final simplified expression.

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Updated 2026-06-03

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