The square root of numbers is an important mathematical concept that should be clear to students. Learning square roots and squares of a number will increase a student’s interest and understanding of how mathematical concepts work. Learning squares and square roots of all the numbers is an impossible task. However, students should at least know these values up to 50. By memorising squares and square roots of numbers from 1 to 50, students will be able to attempt their question papers quickly.
This will not only increase your speed while calculating but also give you more time to attempt more complex questions. While attempting your question paper, it is important to plan your paper. You want your calculations to be fast but also accurate at the same time. The more you practice these numbers, the more they will become engraved to your memory.
Square Roots List
Square roots 1 to 50 list is given below. Students can use this list to memorise the values of squares and square roots of numbers from 1 to 50. To learn values above 50 is a difficult task but not impossible. Learning all the values at once can be a daunting task. So it is advised to learn them in groups. It is also important to put them to use when you are practising to memorise the values.
Number (n) |
Square Root (√n) |
Square(n2) |
1 |
1 |
1 |
2 |
1.41421 |
4 |
3 |
1.73205 |
9 |
4 |
2 |
16 |
5 |
2.23606 |
25 |
6 |
2.44948 |
36 |
7 |
2.64575 |
49 |
8 |
2.82842 |
64 |
9 |
3 |
81 |
10 |
3.16227 |
100 |
11 |
3.31662 |
121 |
12 |
3.46410 |
144 |
13 |
3.60555 |
169 |
14 |
3.74165 |
196 |
15 |
3.87298 |
225 |
16 |
4 |
256 |
17 |
4.12310 |
289 |
18 |
4.24264 |
324 |
19 |
4.35889 |
361 |
20 |
4.47213 |
400 |
21 |
4.58257 |
441 |
22 |
4.69041 |
484 |
23 |
4.79583 |
529 |
24 |
4.89897 |
576 |
25 |
5 |
625 |
26 |
5.09901 |
676 |
27 |
5.19615 |
729 |
28 |
5.29150 |
784 |
29 |
5.38516 |
841 |
30 |
5.47722 |
900 |
31 |
5.56776 |
961 |
32 |
5.65685 |
1024 |
33 |
5.74456 |
1089 |
34 |
5.83095 |
1156 |
35 |
5.91607 |
1225 |
36 |
6 |
1296 |
37 |
6.08276 |
1369 |
38 |
6.16441 |
1444 |
39 |
6.24499 |
1521 |
40 |
6.32455 |
1600 |
41 |
6.40312 |
1681 |
42 |
6.48074 |
1764 |
43 |
6.55743 |
1849 |
44 |
6.63324 |
1936 |
45 |
6.70820 |
2025 |
46 |
6.78232 |
2116 |
47 |
6.85565 |
2209 |
48 |
6.92820 |
2304 |
49 |
7 |
2401 |
50 |
7.07106 |
2500 |
Square Root Numbers List
Every positive number can have a positive and a negative root. The is called the radical sign and is used to depict the square root of any number.
√4 =2
As, 2 x 2 = 4
Also (-2) x (-2) = 4
Therefore, 4 has 2 square roots, 2 and -2
Square roots of negative numbers are studied under the concepts of complex numbers. Also squaring can be talked about in other mathematical concepts. To square two matrices is to multiply them with each other. The meaning of squaring or square root remains the same.