Square Root 1 to 100

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

  1. Find the value of a, if a√25 = 100.
  2. Compute the value of p, if p = 10√20.
  3. Find the missing value: 10× √___ = 60.

Frequently Asked Questions on Square Root 1 to 100

Q1

What is the value of square root of 81?

The value of square root of 81 is 9. I.e., √81 = 9.

Q2

What is the value of 5√25?

The value of 5√25 is 25.

Q3

Find the value of x, if x√36 = 6.

The value of x is 1.
I.e., x(6) = 6
Hence, x = 1.

Q4

Are the values of Square roots always whole numbers?

No, the square root of a number can be a whole, rational or irrational number.
Q5

What are the application of Square and Square Roots?

Square and square roots can be used in Geometry, Quadratic equations, Calculus etc.
Test your Knowledge on Square Root 1 to 100

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*

  1. This app is very helpful to me and for my other mates also