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.