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![](https://rs.olm.vn/images/avt/0.png?1311)
n2 | 22 | 32 | 42 | 52 | 62 | 72 | 82 | 92 |
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
n2 | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 | 121 | 144 | 169 | 196 | 225 | 256 | 289 | 324 | 361 | 400 |
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
0^2=0
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
9^2=81
10^2=100
Ta có :
0^2=0
1^2=1
2^2=4
3^2=9
4^2=16
5^2=25
6^2=36
7^2=49
8^2=64
9^2=81
10^2=100
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
Số tự nhiên | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | |
Bình phương | 0 | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 | 121 | 144 | 169 | 196 | 225 | 256 | 289 | 324 | 361 | 400 |
b) 64 = 82 ; 169 = 132 ; 196 = 142
2.
Số tự nhiên | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Bình phương | 0 | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 |
b) 27 = 33 ; 125= 53 ; 216= 63.
a)
Số tự nhiên | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | |
Bình phương | 0 | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 | 121 | 144 | 169 | 196 | 225 | 256 | 289 | 324 | 361 | 400 |
b) 64 = 82 ; 169 = 132 ; 196 = 142
2.
Số tự nhiên | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Bình phương | 0 | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 |
![](https://rs.olm.vn/images/avt/0.png?1311)
1 )
a) 02=0 ; 12=1 ; 22 = 4 ;32 = 9; 42 = 16; 52 =25 ; 62 = 36 ; 72= 49 ; 82 = 64 ; 92 = 81 ; 102 = 100
112 = 121 ; 122 = 144 ; 132 = 169 ; 142 = 196 ; 152 = 225 ; 162 = 256 ; 172 = 289 ; 182 = 324 ; 192 = 361 ; 202 = 400.
b) 64 = 82 ; 169 = 132 ; 196 = 142
2 )
a)
STN | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Bình phương | 0 | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 |
b) 27 = 33 ; 125 = 53 ; 216 = 63 .
a)
Số tự nhiên | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | |
Bình phương | 0 | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 | 121 | 144 | 169 | 196 | 225 | 256 | 289 | 324 | 361 | 400 |
b) 64 = 82 ; 169 = 132 ; 196 = 142
2.
Số tự nhiên | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Bình phương | 0 | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 |
![](https://rs.olm.vn/images/avt/0.png?1311)
b)
Số tận cùng là 0 => Bình phương số đó tận cùng là 0
Số tự nhiên tận cùng là 1 => Bình phương số đó tận cùng là 1
Số tận cùng là 2 => Bình phương số đó tận cùng là 4
Số tận cùng là 3 => Bình phương số đó tận cùng là 9
Số tận cùng là 4 => Bình phương số đó tận cùng là 6
Số tận cùng là 5 => Bình phương số đó tận cùng là 5
Số tận cùng là 6 => Bình phương số đó tận cùng là 6
Số tận cùng là 7 => Bình phương số đó tận cùng là 9
Số tận cùng là 8 => Bình phương số đó tận cùng là 4
Số tận cùng là 9 => Bình phương số đó tận cùng là 1
=> Bình phương số tự nhiên có thể tận cùng là 0;1;4;5;6;9
=> Bình phương số tự nhiên không thể tận cùng là 2;3;7;8
=> 2007 không là bình phương số tự nhiên
a)
1 | 1 |
2 | 4 |
3 | 9 |
4 | 16 |
5 | 25 |
6 | 36 |
7 | 49 |
8 | 64 |
9 | 81 |
10 | 100 |
11 | 121 |
12 | 144 |
13 | 169 |
14 | 196 |
15 | 225 |
16 | 256 |
17 | 289 |
18 | 324 |
19 | 361 |
20 | 400 |
0 | 0 |
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | |
bình phương | 0 | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 | 121 | 144 | 169 | 196 | 225 | 256 | 289 | 324 | 361 | 400 |
b)64=82
169=132
196=142
![](https://rs.olm.vn/images/avt/0.png?1311)
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | |
bình phương | 0 | 1 | 4 | 9 | 16 | 25 | 36 | 49 | 64 | 81 | 100 | 121 | 144 | 169 | 196 | 225 | 256 | 289 | 324 | 361 | 400 |
Lời giải:
![](data:image/png;base64,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)