Question

Help on Math Investigation about square numbers? Do you have any ideas or suggestions?

Answer 1

square number???

Answer 2

like 9, 16, etc...

Answer 3

ok ok when a number is multiplied by its self one time only the resulting number is called the square of that number.

Answer 4

all square numbers numbers can be written as the factors of other numbers

Answer 5

but those factors are always the same

Answer 6

i meant discover new concepts about square numbers. we're supposed to do an investigation about it but we have no ideas so far.

Answer 7

ok i have one idea

Answer 8

this idea is intresting but you have to give me some time its really intresting

Answer 9

ok. sure what is your idea?

Answer 10

consider a square number let say 4
square it again you got 16
now take the consecutive numbers before and after 4
that are 3 and 5
multiply them we get 15
now 16 - 15 = 1

this result is the same for all square numbers

Answer 11

@danielle02

Answer 12

@03453660 that's awesome! thanks for the help :)

Answer 13

take any square number do the process i did you will always get 1

Answer 14

another idea: a sequence of odd numbers is generated by taking the difference of consecutive square numbers

Answer 15

like 1-0 = 1
4-1=3
9-4=5
16 - 9 = 7
............
..........
........

Answer 16

are these ideas new or not?????

Answer 17

that's a good one too. i like the first one more.

Answer 18

yeah, thank you very much for your help! i'll try to come up with new ideas based on your help :) @03453660

Answer 19

welcome

Answer 20

by the way i like your question too much

Answer 21

@danielle02 did you find anything more about square numbers

Answer 22

Consider the perfect square identity: (x+y)^2 = x^2 + 2xy + y^2, and difference of squares identity; x^2 - y^2 = (x+y)(x-y)

Answer 23

@03453660 i'm still investigating. i'm currently trying to find a pattern so i could come up with something.

Answer 24

@tyteen4a03 what do you mean by this?

Answer 25

@danielle02 These identity are related to square numbers. You can google the proof of these identities.

Answer 26

isn,t the pattern of odd numbers i told you before was enough???

Answer 27

i'm trying to find more patterns you know, i do have fun investigating square numbers because they're interesting

Answer 28

exactly i didnt thought over these numbers but now i found these numbers very intresting