## anonymous 5 years ago how to determine if a given number is a perfect square or not?

1. anonymous

Find the square root, and see if its an integer or not. If its an integer then the number was a perfect sqare

2. anonymous

any other short cuts?

3. anonymous

Depends on the case you are dealing with

4. anonymous

any example?

5. anonymous

You give me examples and I will do it for you, I don't know your level. If I say If 8n+1 is a perfect square what can you say about n then this question can go above your level. So you need to tell me what you r level is

6. anonymous

1,3,6,10,15,21,28,36,45 and so on. couldn't reply yesterday b coz of connection failure

7. anonymous

ha ha. No not that. The answer is "2n can't be a perfect square" or "$\sqrt (8n+1)$" is always odd.

8. anonymous

i don't get u

9. anonymous

Thats why I told you to provide me problems, rather than having problems from me.

10. anonymous

8(1)+1=9 8(3)+1=25 8(6)+1=49 8(10)+1=81 all of them are perfect squares. what then?

11. anonymous

The question was, what is the property of n, when 8n+1 is a perfect square. What you are doing is just putting values and seeing if they are satisfying the relation I gave you. But thats not the problem. The problem is to prove the two answer statement I gave you. i.e. "2n can't be a perfect square" or "(√8n+1) is always odd." I didn't get them by guess work, I proved them, and that is what is expected.

12. anonymous

oh ok. thanks

13. anonymous

thanks again then:)