Would an astronaut be fried and irradiated if he landed on the sunny side of the moon?

All six Apollo missions that landed on the moon landed on the 'sunny' side, and all twelve astronauts

who got out and walked on the moon walked in the sun. They would have been fried and irradiated

without protection, which is a big part of the reason why they wore space suits. Another reason for the

space suits was the fact that since their assigned tasks on the moon required so much physical effort,

they got together and decided that while they were walking and working on the moon, they wanted to

keep breathing. They needed a way to do that, since the moon has no air, and since they would be in

space suits anyway to avoid being fried and irradiated, it was a no-brainer to put the air in there too.