SQUARES
· When a number is multiplied by itself the product is called the square of the number.
for e.g., 2 × 2 = 4 or 22 = 4. We say that the square of 2 is 4. Similarly, 3 × 3 = 9 or 32 = 9, etc.
Definition: - A natural number is said to be a perfect square, if it is the square of another natural number.
For Ex., 5 × 5 = 52 = 25, 6 × 6 = 62 = 36, 7 × 7 = 72 = 49, etc.
So, 4, 9, 16, 25, 36…. are all perfect squares.
The squares of the first 30 natural numbers are:
|
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 |
212=441 |
|
222 =484 |
232 =529 |
242 =576 |
|
252 =625 |
262 =676 |
272 =729 |
|
282 =784 |
292 =841 |
302 =900 |
Excersice 6.2
