Square root 1 to 100: Square root of a number is a value, which on multiplication by itself, gives the original number. If p is a positive integer, then the square root of p is represented by √p, such that √p = q. There is a list of square roots of 1 to 100 numbers, mentioned in this article. But before heading for it, let us learn some basics here.
The symbol to denote the square root is ‘√’. It is also called a radical symbol and the number denoted under this symbol is called the radicand. Say, in √3, 3 is the radicand.
The square root of any number can be determined either by factorisation method or by long division method. If a number is a perfect square, then the root of such numbers can be easily determined by factoring them. But, if the numbers are not perfect squares or they are in decimal form or too big numbers, then we have to use a division method. Learn to find square roots by long division method here.
List of Square Roots from 1 to 100
Below is the table carrying the list of numbers from 1 to 100, along with their squares and square roots. Memorising these values of square roots will help to solve many mathematical problems.
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 |
51 | 2601 | 7.141 |
52 | 2704 | 7.211 |
53 | 2809 | 7.280 |
54 | 2916 | 7.348 |
55 | 3025 | 7.416 |
56 | 3136 | 7.483 |
57 | 3249 | 7.550 |
58 | 3364 | 7.616 |
59 | 3481 | 7.681 |
60 | 3600 | 7.746 |
61 | 3721 | 7.810 |
62 | 3844 | 7.874 |
63 | 3969 | 7.937 |
64 | 4096 | 8.000 |
65 | 4225 | 8.062 |
66 | 4356 | 8.124 |
67 | 4489 | 8.185 |
68 | 4624 | 8.246 |
69 | 4761 | 8.307 |
70 | 4900 | 8.367 |
71 | 5041 | 8.426 |
72 | 5184 | 8.485 |
73 | 5329 | 8.544 |
74 | 5476 | 8.602 |
75 | 5625 | 8.660 |
76 | 5776 | 8.718 |
77 | 5929 | 8.775 |
78 | 6084 | 8.832 |
79 | 6241 | 8.888 |
80 | 6400 | 8.944 |
81 | 6561 | 9.000 |
82 | 6724 | 9.055 |
83 | 6889 | 9.110 |
84 | 7056 | 9.165 |
85 | 7225 | 9.220 |
86 | 7396 | 9.274 |
87 | 7569 | 9.327 |
88 | 7744 | 9.381 |
89 | 7921 | 9.434 |
90 | 8100 | 9.487 |
91 | 8281 | 9.539 |
92 | 8464 | 9.592 |
93 | 8649 | 9.644 |
94 | 8836 | 9.695 |
95 | 9025 | 9.747 |
96 | 9216 | 9.798 |
97 | 9409 | 9.849 |
98 | 9604 | 9.899 |
99 | 9801 | 9.950 |
100 | 10000 | 10.000 |
Video Lessons on Square Roots
Visualising Square Roots
Finding Square Roots
Related Articles
Solved Examples
Example 1:
Find the value of x, if x√100 = 2000.
Solution:
Given that, x√100 = 2000
As we know, the square root of 100 is 10.
I.e., √100 = 10
Hence, x(10) = 2000
10x = 2000
x = 2000/10
x = 200
Therefore, the value of x is 200.
Example 2:
Determine the value of x, if x = 2√49
Solution:
Given: x = 2√49
We know that, √49 = 7
Hence, x = 2(7) = 14.
Practice Questions on Square Root 1 to 100
- Find the value of a, if a√25 = 100.
- Compute the value of p, if p = 10√20.
- Find the missing value: 10× √___ = 60.
Frequently Asked Questions on Square Root 1 to 100
What is the value of square root of 81?
The value of square root of 81 is 9. I.e., √81 = 9.
What is the value of 5√25?
The value of 5√25 is 25.
Find the value of x, if x√36 = 6.
The value of x is 1.
I.e., x(6) = 6
Hence, x = 1.
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