Final answer:
The nurse should prioritize monitoring the client's potassium levels when furosemide is prescribed, due to the risk of hypokalemia which can affect heart rhythm and muscle function.
Step-by-step explanation:
A nurse should closely monitor the client's potassium level when prescribing furosemide, which is a diuretic often used to treat conditions leading to increased blood pressure. Furosemide can cause the kidneys to excrete increased amounts of potassium (K+), which may lead to hypokalemia (low potassium levels). Adequate potassium levels are essential for many bodily functions, including the regulation of heart rhythm and muscle contraction. Therefore, monitoring is important to prevent potentially serious side effects.