In professional fields such as construction and logistics, radical expressions are often used to calculate dimensions from area measurements. Match each radical expression with its simplified numerical value.

A warehouse supervisor is verifying dimensions for three square storage containers based on their area measurements. The supervisor evaluates the expressions $\sqrt{36}$, $\sqrt{169}$, and $-\sqrt{225}$. Which set of values correctly simplifies these three expressions in the given order?

A project manager is simplifying the radical expression $-\sqrt{225}$ to determine a budget adjustment. Arrange the following steps in the correct order to evaluate this expression according to the procedure for radicals with external signs.

Verifying Blueprint Dimensions via Radical Simplification

A CNC machine programmer is calculating tool offsets for a milling project. The required offsets involve evaluating the expressions $\sqrt{36}$, $\sqrt{169}$, and $-\sqrt{225}$. The programmer simplifies these expressions to 6, 13, and 15, respectively, assuming the negative sign in the third expression is dropped because square roots always produce positive values.

Evaluating Radical Constants in a Logistics Formula

Training an Operator on Simplifying Radicals with External Signs