Connect a single monitor directly with one cable (no adapters if possible). Make sure the HDMI/DisplayPort cable is fully seated on both laptop and monitor. If the laptop has more than one video port (HDMI, USBC/Thunderbolt, etc.), try each port.
When an external monitor stops connecting to a laptop, especially under the circumstances you've described, there are several steps you can take to troubleshoot and hopefully resolve the issue.

Here is my situation: I've connected two samsung monitors to my laptop, both monitors function perfectly when connected alone, but when I connect both, bottom half of 24" monitor goes black, also mouse pointer is displayed on it but windows\desktop are not.

Furthermore, visual representations like the one above help us fully grasp the concept of No Display On Both Monitors Connected To Laptop.
The problem is both monitors are on. and showing the same display as each other. however, in the system display settings, I only see one external monitor connected. the second monitor isn't even showing up there. even though both monitors show the same display together.

How to prepare for multi-monitor setup on Windows 11. Before diving into these steps, connect the displays correctly, including the power and signal cables (HDMI or DisplayPort), and turn on all the monitors.
Connect Two Monitors to a Laptop. Fix Connections to Bluetooth Audio Devices and Wireless Displays in Windows 10.