As an estimating assistant for a construction firm, you calculate the exact diagonal of a custom tile to be $\sqrt{45}$ inches. To format this measurement for the fabrication team, you must simplify the radical by recalling its largest perfect square factor. What is the simplified form of $\sqrt{45}$?

A construction contractor is simplifying a measurement of $\sqrt{45}$ feet for a building's foundation plan. Arrange the following steps in the correct order to simplify this radical using the Product Property of Roots, as outlined in the standard mathematical procedure.

In a construction project, a diagonal brace is calculated to be $\sqrt{45}$ feet long. To simplify this value for the fabrication team using the Product Property of Roots, you must first identify the largest factor of 45 that is a perfect square. The largest perfect square factor of 45 is ____.

A construction supervisor calculates the exact length of a support beam to be $\sqrt{45}$ feet. To help the team cut the beam correctly, the supervisor simplifies the measurement using the Product Property of Roots. Match each component of this simplification process with its correct numerical value or expression.

Simplifying Project Measurements

In a technical mathematics workshop for manufacturing employees, a trainee is asked to simplify the expression $\sqrt{45}$ using the Product Property of Roots. The trainee suggests that the expression can be correctly rewritten as $\sqrt{9} + \sqrt{5}$. True or False: The trainee's suggested rewrite is a correct application of the Product Property of Roots.