Before learning the values of square roots from 1 to 50, let’s recall the definition of square root in Maths. In Mathematics, the square root of a number is a value that gives the actual number on multiplication by itself. Suppose x is the square root value of y, such that it can be shown as x = √y and x2 = y, where the radical symbol “√” denotes the square root of numbers. When multiplied by itself, the positive number represents the square of the number. Thus, the square root of the square of a positive number gives the original number, i.e. √(p2) = p, where p2 is the square of p.
Different methods are available to estimate the value of the square root of numbers. If the square root of a number is a whole number, it is called a perfect square. The square root of perfect square numbers can be calculated using repeated subtraction and prime factorisation methods. The long division method is also used to find the square root of numbers, especially for non-perfect square numbers. In this article, you will get the list of the square roots from 1 to 50, along with the values of squares from 1 to 50.
Also, check: Perfect squares
Square Root 1 to 50 PDF
Click here to download the PDF of square root of numbers from 1 to 50 – Download PDF
List of Square Roots From 1 to 50
The list of squares and square roots of numbers from 1 to 50 is given below. The below table contains the square root of numbers, up to 3 decimal places.
Number (N) |
Square (N2) |
Square root (√N) |
1 |
1 |
1.000 |
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 |
26 |
676 |
5.099 |
27 |
729 |
5.196 |
28 |
784 |
5.292 |
29 |
841 |
5.385 |
30 |
900 |
5.477 |
31 |
961 |
5.568 |
32 |
1024 |
5.657 |
33 |
1089 |
5.745 |
34 |
1156 |
5.831 |
35 |
1225 |
5.916 |
36 |
1296 |
6.000 |
37 |
1369 |
6.083 |
38 |
1444 |
6.164 |
39 |
1521 |
6.245 |
40 |
1600 |
6.325 |
41 |
1681 |
6.403 |
42 |
1764 |
6.481 |
43 |
1849 |
6.557 |
44 |
1936 |
6.633 |
45 |
2025 |
6.708 |
46 |
2116 |
6.782 |
47 |
2209 |
6.856 |
48 |
2304 |
6.928 |
49 |
2401 |
7.000 |
50 |
2500 |
7.071 |
Read more: |
Video Lessons on Square Roots
Visualising square roots
Finding Square roots
Perfect Square Roots From 1 to 50
As we know, square roots of some numbers are whole numbers, and those types of numbers are known as perfect squares. The below-given list represents the square roots of perfect squares from 1 to 50.
Square Root of perfect square numbers from 1 to 50 |
||
Perfect Square Numbers |
Square Root |
Result |
1 |
√1 |
√(1 × 1) = 1 |
4 |
√4 |
√(2 × 2) = 2 |
9 |
√9 |
√(3 × 3) = 3 |
16 |
√16 |
√(4 × 4) = 4 |
25 |
√25 |
√(5 × 5) = 5 |
36 |
√36 |
√(6 × 6) = 6 |
49 |
√49 |
√(7 × 7) = 7 |
Square Root of Other Numbers
To learn more concepts related to the square root of numbers, visit byjus.com, and download BYJU’S – The Learning App today!
Comments