
Square and Square root: A square is a number that is the product of an integer multiplied once by itself. For example, if the integer is 'm,' then m x m is known as the square of 'm.' Square is generally represented by the base raised to the power of two, i.e., m2.
The square root of a number is defined as the exact reverse process of squaring a number. We know that the square root is the number when multiplied by itself gives the original number. If n is the square root of m, then n x n equals m. The value of a square is always positive, but the square root of a number might provide two results, one positive and one negative. For instance, 242 = 484, but root 484 = +24 and -24. Positive numbers are formed by squaring negative numbers. For example, the square of (-13) is 169, which is a positive number.
The '√' sign represents the square root. This is known as the radical sign, and the word (integer) contained within it is regarded as the radicand. In the principles of exponents, the square root is specified as an integer raised to the power of '1/2'. If x is any numeric value, then the square root is (x1/2) or x0.5.
Some Properties of Square Root:
Using these properties, we shall create a table of numbers from 1-25 and their square roots, respectively.
The table given below shows the square and square root values of numbers from 1 to 25:
|
Number |
Square |
Square root |
|
1 |
1 |
1 |
|
2 |
4 |
1.414 |
|
3 |
9 |
1.732 |
|
4 |
16 |
2.000 |
|
5 |
25 |
2.236 |
|
6 |
36 |
2.449 |
|
7 |
49 |
2.646 |
|
8 |
64 |
2.828 |
|
9 |
81 |
3.000 |
|
10 |
100 |
3.162 |
|
11 |
121 |
3.317 |
|
12 |
144 |
3.464 |
|
13 |
169 |
3.606 |
|
14 |
196 |
3.742 |
|
15 |
225 |
3.873 |
|
16 |
256 |
4.000 |
|
17 |
289 |
4.123 |
|
18 |
324 |
4.243 |
|
19 |
361 |
4.359 |
|
20 |
400 |
4.472 |
|
21 |
441 |
4.583 |
|
22 |
484 |
4.690 |
|
23 |
529 |
4.796 |
|
24 |
576 |
4.899 |
|
25 |
625 |
5.000 |
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