If you think you're so smart give me an odd number and its square root?

Question

I've tried solving for myslf. Never worked out.

Answer 1

1 and 1
9 and 3
25 and 5
49 and 7
81 and 9
121 and 11
...

Answer 2

Look at all the odd numbers, such as :
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, ... etc.

Now multiply each one by itself.
This is called squaring.

Then you'll get :
1, 9, 25, 49, 81, 121, 169, 225, 289, 361, ... etc.

Notice that all these squares are odd numbers too.
They must be odd because an odd number times an odd number = an odd number.

So all you do is think of an odd number, say 7.
Then square it (which is 7 * 7) to get 49.
Now you've got the odd number 49 and you know that it's square root is 7.

Answer 3

Think of the larger number (25?) as the tree and the smaller number you seek (5?) as the "square root" it grew out of. That is why the word "root" is used, as in "money is the root of all evil." In the same way, the cube root of 27 is 3 (3 x 3 x 3 = 27). If you square a number (5 x 5 = 25) the number is the "square root" of the result. Sometimes a word used in math is not too far from its common meaning, which should help and not hinder. Good luck.

Answer 4

Here's a really long list of all odd squares from 1-10000 and their square roots.
The squares are on the left, a space in between, and the square roots on the right.
1 1
9 3
25 5
49 7
81 9
121 11
169 13
225 15
289 17
361 19
441 21
529 23
625 25
729 27
841 29
961 31
1089 33
1225 35
1369 37
1521 39
1681 41
1849 43
2025 45
2209 47
2401 49
2601 51
2809 53
3025 55
3249 57
3481 59
3721 61
3969 63
4225 65
4489 67
4761 69
5041 71
5329 73
5625 75
5929 77
6241 79
6561 81
6889 83
7225 85
7569 87
7921 89
8281 91
8649 93
9025 95
9409 97
9801 99

PS : I'm really smart.

Answer 5

9 3

Answer 6

Pick any odd number, square it. The results will always be odd.

If a number is odd it is of the form (2n+1) where n is an integer.

(2n+1)^2 = 4n^2 +4n + 1 , an odd number.

So there are an infinite number of odd numbers which have square roots that are easy to compute.

Answer 7

Yo James H, "i" is the square root of minus 1, not e. e is euler's number, around 2.1828...

As for the odd number and its square root, all numbers have square roots, even if they aren't rational.

If you want integer roots though, just take any odd number, square it, and you'll have an odd number and its square root.
For an algebraic problem proving that this larger number will always be odd, e-mail me.

Answer 8

the number is 1 -- the square root = 1
the number is 9 -- the square root = 3
the number is 25 -- the square root = 5
so each odd number if you make it square you will get another odd number and vise versa.

Answer 9

Better yet, consider that one of the base constants of electrical engineering is the constant "e" (little e). Now this constant is used throughout electrical engineering everywhere.

It is equal to the square root of -1. Yes, I said "minus 1".

It's a real brain buster. I learned that 20 years ago in college, have confirmed it a dozen times (yes, that's what you heard) and have pondered it for years. Most people just accept it....

I couldn't do that so I switched majors.

Answer 10

25? and its 5