Final answer:
The least accurate route for taking a patient's temperature is using a thermometer with a high level of uncertainty, as the true temperature could vary by a significant amount. For example, a thermometer with an uncertainty of 3.0°C could result in a temperature reading that is 3.0°C higher or lower than the actual temperature.
Step-by-step explanation:
The least accurate route for taking a patient's temperature is using a thermometer with a high level of uncertainty. For example, if the thermometer has an uncertainty of 3.0°C, then the true temperature of the patient could vary by 3.0°C in either direction. This means that a temperature reading of 37.0°C could actually indicate a temperature as low as 34.0°C or as high as 40.0°C, making the thermometer unreliable for accurate temperature measurement.