A landscape architect is calculating the total length of two decorative stone borders for a garden path. The first border is \sqrt{20} meters long and the second is 3\sqrt{5} meters long. Which of the following represents the total length of the borders in simplified radical form?

A machinist is calculating the total length of two metal rods for a precision assembly. One rod measures $\sqrt{20}$ centimeters and the other measures $3\sqrt{5}$ centimeters. Arrange the following steps in the correct order to simplify and combine these measurements into the final sum of $5\sqrt{5}$ centimeters.

A construction foreman is calculating the total length of two support beams. Beam A is $\sqrt{20}$ feet long and Beam B is $3\sqrt{5}$ feet long. The total simplified length of both beams is ____ feet.

A plumbing contractor is calculating the total length of two copper pipes. One pipe is $\sqrt{20}$ inches long and the other is $3\sqrt{5} inches long. True or False: These two measurements can be combined into a single total of $5\sqrt{5} inches because $\sqrt{20}$ is equivalent to $2\sqrt{5}$.

A civil engineering technician is verifying structural measurements for a bridge reinforcement plan. The plan requires combining two lengths: $\sqrt{20}$ decimeters and $3\sqrt{5}$ decimeters. To ensure the final report is accurate, match each component of the simplification process with its corresponding value or role.

Standardizing Material Measurements

Inventory Standardization for Metal Fabricators

Standardizing Technical Specifications for Radical Expressions

A maintenance technician is measuring two lengths of copper tubing for a repair. The first length is $\sqrt{20}$ inches and the second length is $3\sqrt{5}$ inches. To simplify the first measurement so it can be added to the second, which perfect square factor of 20 must the technician recall?

A specialized technician is combining two lengths of material, $\sqrt{20}$ centimeters and $3\sqrt{5}$ centimeters, for a structural repair. To add these together as 'like radicals,' the technician must simplify $\sqrt{20}$ so that it has the same radicand as the second term. Which value represents this common radicand?