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what is the square root of 5z-2, then it says plus 7=10

First, subtract 7 from each side so you now have: sqrt(5z-2)=3. Then square each side, so you now have: 5z-2=9. Then add 2 to each side so you have 5z=11. Then divide each side by 5 and the answer is z=11/2.

thanks belinda but when i check the answer it doesnt plug in correctly? so that's what confuses me

You're right. Hmm - is 5z-2 all under the radical sign? And then plus 7 is after the radical part and then =10? Or is 5z-2+7 all under the radical?

the 5z-2 is under the radical sign and then the 7 is after idk what im doing wrong but its getting me frustrated

Well, me neither because I did it 3 times and got 11/2, but you're right, it doesn't work. Leave it blank I guess?

well thanks i appreciate your help, i think your right its not worth worrying about, because if i try this problem again i will get mad when i get the same answer thanks again tho lol

You're welcome! I'm sorry we couldn't figure out a solution to the problem. Sometimes math problems can be tricky, and it's always a good idea to double-check your work and consult with a teacher or tutor if you're unsure. Don't worry too much about it, and remember that it's important to stay calm and not let frustration overcome you. If you have any more questions in the future, feel free to ask. Good luck!