Squares and Square Roots

In this section we will discuss squares and square roots.

Square of a number and square numbers
The square of a number is that number raised to the power 2.
Thus, if ‘a’ is a number, then the square of a is written as a
2 and is given by a 2 = a x a.
That is, the square of a number is obtained by multiplying it by itself.
If a x a = b i.e. a
2 = b, then we say that the square of number a is number b or the number b is the square of number a.

For example : 1) 3 2 = 3 x 3= 9, so we say that the square of 3 is 9;
2) (-4)
2 = -4 x -4 = 16, so we say that the square of -4 is 16;
3) (3/5)
2 = (3/5) x(3/5) = 9/25 so we say that the square of (3/5) is 9/25;

Squares of some numbers are given below :
Number
Square
Number
Square
1
12 = 1 x 1 = 1
2
22 = 2 x 2 = 4
3
32 = 3 x 3 = 9
4
4 2 = 4 x 4 = 16
5
52 = 5 x 5 = 25
6
62 = 6 x 6 = 36
7
72 7 x 7 = 49
8
8 2 8 x 8 = 64
9
9 2 9 x 9 = 81
10
10 2 10 x 10 = 100
11
11 2 = 11 x 11 = 121
12
12 2 = 12 x 12 = 144
13
13 2 = 13 x 13 = 169
14
14 2 = 14 x 14 = 196
15
15 2 = 15 x 15 = 225
16
16 2 = 16 x 16 = 256
17
17 2 = 17 x 17 = 289
18
18 2 = 18 x 18 = 324
19
19 2 = 19 x 19 = 361
20
20 2 = 20 x 20 = 400
21
21 2 = 21 x 21 = 441
22
22 2 = 22 x 22 = 484
23
23 2 = 23 x 23 = 529
24
24 2 = 24 x 24 = 576
25
25 2 = 25 x 25 = 625
26
26 2 = 26 x 26 = 676
27
27 2 = 27 x 27 = 729
28
28 2 = 28 x 28 = 784
29
29 2 = 29 x 29 = 841
30
30 2 = 30 x 30 = 900

Squares and Square roots

Introduction of Squares and Square Roots
Perfect Squares or not
Properties of Square Numbers
Short cut method to find squares
Introduction of Square Roots
Properties of Square Roots
Square root by Prime factorization method
Square root by long division method
Square root of rational numbers
Square root of Decimals
Square root by estimation method

From squares and square roots to Exponents

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