# Square

The square of a number is the product of the number with the number itself. For a given number x, the square of x is (x × x), denoted by .

For example:

2² = (2 × 2) = 4 and we say that the square of 2 is 4.

3² = (3 × 3) = 9 and we say that the square of 3 is 9.

4² = (4 × 4) = 16 and we say that the square of 4 is 16

5² = (5 × 5) = 25 and we say that the square of 5 is 25.

6² = (6 × 6) = 36 and we say that the square of 6 is 36.

7² = (7 × 7) = 49 and we say that the square of 7 is 49.

8² = (8 × 8) = 64 and we say that the square of 8 is 64.

9² = (9 × 9) = 81 and we say that the square of 9 is 81

10² = (10 × 10) = 100 and we say that the square of 10 is 100

11² = (11 × 11) = 121 and we say that the square of 11 is 121.

12² = (12 × 12) = 144 and we say that the square of 12 is 144.

13² = (13 × 13) = 169 and we say that the square of 13 is 169.

14² = (14 × 14) = 196 and we say that the square of 14 is 196.

15² = (15 × 15) = 225 and we say that the square of 15 is 225.

Note:

The square of a negative number is always positive.

(-2)² = ((-2) × (-2)) = 4 and we say that the square of (-2) is 4.

(-3)² = ((-3) × (-3)) = 9 and we say that the square of (-3) is 9.

(-4)² = ((-4) × (-4)) = 16 and we say that the square of (-4) is 16.

(-5)² = ((-5) × (-5)) = 25 and we say that the square of (-5) is 25.

(-6)² = ((-6) × (-6)) = 36 and we say that the square of (-6) is 36.

(-7)² = ((-7) × (-7)) = 49 and we say that the square of (-7) is 49.

(-8)² = ((-8) × (-8)) = 64 and we say that the square of (-8) is 64.

(-9)² = ((-9) × (-9)) = 81 and we say that the square of (-9) is 81.

(-10)² = ((-10) × (-10)) = 100 and we say that the square of (-10) is 100.

(-11)² = ((-11) × (-11)) = 121 and we say that the square of (-11) is 121.

(-12)² = ((-12) × (-12)) = 144 and we say that the square of (-12) is 144.

(-13)² = ((-13) × (-13)) = 169 and we say that the square of (-13) is 169.

(-14)² = ((-14) × (-14)) = 196 and we say that the square of (-14) is 196.

(-15)² = ((-15) × (-15)) = 225 and we say that the square of (-15) is 225.

### What is called the square of a number?

When a number is multiplied by itself, the product obtained is called the square of a number. Thus, the number with exponent 2 is called the square number.

For example:

2/7 × 2/7 = (2/7)² = ⁴ /₄₉

Here ⁴ /₄₉ is the square of ² /₇.

0.1 × 0.1 = (0.1)² = 0.01

Here 0.01 is the square of 0.1.

Square

Square

Perfect Square or Square Number

Properties of Perfect Squares

Square - Worksheets

Worksheet on Squares