A site supervisor is calculating the diagonal length of a square equipment pad with an area of 50 square feet. To provide a simplified measurement for the installation crew, the supervisor must simplify the square root of 50. Arrange the following steps in the correct sequence to perform this simplification based on the Product Property of Square Roots.

A construction contractor needs to simplify a measurement of the square root of 50 feet for a project blueprint. Which of the following is the correct simplified form of this measurement?

A facilities manager is simplifying a diagonal measurement of $\sqrt{50}$ feet for a workshop floor plan. To apply the Product Property of Square Roots, the manager must first identify the largest perfect square factor of 50. What is this number?

An HVAC technician is calculating the exact diameter of a custom ventilation pipe based on a design area that results in a measurement of $\sqrt{50}$ inches. Match each part of the simplification process with its correct numerical value.

A fabrication technician is reviewing a technical drawing that lists a part's length as $\sqrt{50}$ centimeters. To make the measurement easier to read in a summary report, the technician records it as $5\sqrt{2}$ centimeters. Is the technician's simplified measurement correct?

Simplifying Radical Dimensions for Inventory

Standardizing Technical Dimensions for Quality Control

Standardizing Machine Tool Specifications

A quality control technician is documenting the simplification of a measurement of $\sqrt{50}$ millimeters for a technical report. According to the Product Property of Square Roots, which of the following expressions correctly shows the radical rewritten as a product of two separate square roots using the largest perfect square factor of 50?

A technical documentation specialist is creating a guide for standardizing machine parts. To explain the simplification of a dimension listed as $\sqrt{50}$ centimeters into $5\sqrt{2}$centimeters, the specialist notes that$\sqrt{50}$is first rewritten as$\sqrt{25} \cdot \sqrt{2}$. Which mathematical property allows a single square root to be rewritten as a product of two separate square roots?