Send “a” nuke? That’s like throwing a grain of sand in the ocean and expecting to see some significant result. Send all our nukes (every one on the planet) and it’d be like throwing a stone the size of, say a cigarette lighter flint, into Lake Michigan.
The sun is a thermonuclear furnace of immense size and mass. It runs by fusion of atomic materials like a hydrogen bomb. Our puny H-bombs are a fraction of its output every second. Our smaller, fission devices (A-Bombs) aren’t even a millisecond of the sun’s output.
The reason is something called relative scale. Here’s a photo of a scale model of our solar system.