 # Square and Square Root

A Square is the times of the number itself and the square root of a squared number is the original number. For example, the square of 3 is 9 and the square root of 9 is 3. Hence, the square root is a vice-versa process of squaring a number. If n is a number, then square of ‘n’ is represented as n2 and the square root of n is represented as √n.

In geometry, the square of any number represents the area of square-shape. Hence, if a is the side of a square, the area will be equal to a2. Similarly, square and square root have different applications in Mathematics, such as algebra, quadratic equations, etc.

As we said, the square represents area. Suppose we have to represent the square numbers in square boxes then;

Square of 2 = 4, hence there will be 4 boxes in a square here.

22=4

 1 2 3 4

So, there are 2 rows and 2 columns.

Now, Square of 3 = 9

Hence, there will be 9 boxes equally divided into a square.

32 = 9

 1 2 3 4 5 6 7 8 9

Here, there are 3 rows and 3 columns.

Let us list out numbers from 1 to 50 as their square and square roots.

## List of Square and Square Roots

Below is the list of square and square root of 1 to 50 numbers, which students can use to solve complex math problems. Also, students can try finding the square root manually using long division method.

 Number (n) Square (n2) Square root (√n) 1 1 1 2 4 1.4142 3 9 1.7321 4 16 2 5 25 2.2361 6 36 2.4495 7 49 2.6458 8 64 2.8284 9 81 3 10 100 3.1623 11 121 3.3166 12 144 3.4641 13 169 3.6056 14 196 3.7417 15 225 3.8730 16 256 4 17 289 4.1231 18 324 4.2426 19 361 4.3589 20 400 4.4721 21 441 4.5826 22 484 4.6904 23 529 4.7958 24 576 4.8990 25 625 5 26 676 5.0990 27 729 5.1962 28 784 5.2915 29 841 5.3852 30 900 5.4772 31 961 5.5678 32 1024 5.6569 33 1089 5.7446 34 1156 5.8310 35 1225 5.9161 36 1296 6 37 1369 6.0828 38 1444 6.1644 39 1521 6.2450 40 1600 6.3246 41 1681 6.4031 42 1764 6.4807 43 1849 6.5574 44 1936 6.6332 45 2025 6.7082 46 2116 6.7823 47 2209 6.8557 48 2304 6.9282 49 2401 7 50 2500 7.0711