Square Root 1 to 100

Square root from 1 to 100 is widely used in mathematics for solving various types of problems. We define square root as the number which when multiplied with itself gives the original number, i.e. if √p = q then, √p×√p = q² = p. We use ‘√’ to denote the square root, it is also called the radical symbol. There are various methods using which we can easily find the square root of numbers. 

Let’s learn more about square roots from 1 to 100, Examples, and FAQs in this article.

Square Root Definition

Square Root is defined as a number whose product with itself results in another number called the square of the number. For example, the square root of 81 is 9, this means multiplying 9 by 9 results 81. Thus 81 is square and 9 is the square root of 81.

List of Square Roots from 1 to 100

The square roots from 1 to 100 are widely used in Mathematics to solve various types of problems. They are used in solving various numeric and algebraic expressions. The list of square roots from 1 to 100 is discussed in the table below:

Table of Square Roots from 1 to 50

The table added below discusses the square and square roots of the first 50 natural numbers that is the numbers from 1 to 50.

Number (N)	Square (N2)	Square root (√N)	Number (N)	Square (N2)	Square root (√N)
1	1	1.000	26	676	5.099
2	4	1.414	27	729	5.196
3	9	1.732	28	784	5.292
4	16	2.000	29	841	5.385
5	25	2.236	30	900	5.477
6	36	2.449	31	961	5.568
7	49	2.646	32	1024	5.657
8	64	2.828	33	1089	5.745
9	81	3.000	34	1156	5.831
10	100	3.162	35	1225	5.916
11	121	3.317	36	1296	6.000
12	144	3.464	37	1369	6.083
13	169	3.606	38	1444	6.164
14	196	3.742	39	1521	6.245
15	225	3.873	40	1600	6.325
16	256	4.000	41	1681	6.403
17	289	4.123	42	1764	6.481
18	324	4.243	43	1849	6.557
19	361	4.359	44	1936	6.633
20	400	4.472	45	2025	6.708
21	441	4.583	46	2116	6.782
22	484	4.690	47	2209	6.856
23	529	4.796	48	2304	6.928
24	576	4.899	49	2401	7.000
25	625	5.000	50	2500	7.071

Table of Square Roots from 51 to 100

The table added below discusses the square and square roots of the natural numbers from 51 to 100.

Number (N)	Square (N2)	Square root (√N)	Number (N)	Square (N2)	Square root (√N)
51	2601	7.141	76	5776	8.718
52	2704	7.211	77	5929	8.775
53	2809	7.280	78	6084	8.832
54	2916	7.348	79	6241	8.888
55	3025	7.416	80	6400	8.944
56	3136	7.483	81	6561	9.000
57	3249	7.550	82	6724	9.055
58	3364	7.616	83	6889	9.110
59	3481	7.681	84	7056	9.165
60	3600	7.746	85	7225	9.220
61	3721	7.810	86	7396	9.274
62	3844	7.874	87	7569	9.327
63	3969	7.937	88	7744	9.381
64	4096	8.000	89	7921	9.434
65	4225	8.062	90	8100	9.487
66	4356	8.124	91	8281	9.539
67	4489	8.185	92	8464	9.592
68	4624	8.246	93	8649	9.644
69	4761	8.307	94	8836	9.695
70	4900	8.367	95	9025	9.747
71	5041	8.426	96	9216	9.798
72	5184	8.485	97	9409	9.849
73	5329	8.544	98	9604	9.899
74	5476	8.602	99	9801	9.950
75	5625	8.660	100	10000	10.000

Square Root from 1 to 100 Chart

The square roots 1 to 100 chart is a chart that contains all the square roots from 1 to 100. The image added below shows Square Root from 1 to 100.

Square Root from 1 to 100 for Perfect Squares

The table added below discusses the values of square roots from 1 to 100 for perfect squares.

Number(N)	Square Root (√N)
1	1
4	2
9	3
16	4
25	5
36	6
49	7
64	8
81	9
100	10

How to Calculate Square Root from 1 to 100?

We can easily calculate the square root from 1 to 100 by various methods. The most commonly used two methods are,

• Prime Factorization
• Long Division Method

Method 1: Prime Factorization

Example: Find the value of √64 using the prime factorization method.

Solution:

We know that,

Prime factorization of 64 is 8 × 8

Pairing Prime Factors: 8

Thus, the value of √64 = 8

Method 2: Long Division Method

Example: Find the value of √18 using long division method

Solution:

Learn more, How to calculate a square root?

Read More,

• Square Root of 2
• Squares and Square Roots

Solved Examples on Square Root 1 to 100

Example 1: A square park has an area of 121 m². Find the length of the park.

Solution:

Let ‘a’ be the length of the Park.

Area of Square Park = 121 m²

We know that,

Area of Square = a²

a² = 121 = 11²

a = √(121)

Thus, the length of the square is 11 m

Example 2: Find the value of √81 using the prime factorization method.

Solution:

We know that,

Prime factorization of 81 is 9 × 9

Pairing Prime Factors: 9

Thus, the value of √81 = 9

Example 3: A circular pond has an area of 154 m². Find the radius of the pond.

Solution:

Let ‘r’ be the radius of the pond

Area of Pond = 121 m²

We know that,

Area of Pond = πr²

πr² = 154

22/7r² = 154

r² = 7×7

r = 7

Thus, the radius of the pond is 11 m.

FAQs on Square Root 1 to 100

Q1: What is Square Root 1 to 100 chart?

Answer:

The square root 1 to 100 chart is the chart that contains all the square roots from 1 to 100. It is used to solve various numerical problems in Mathematics.

Q2: What are the Methods to Calculate Square Roots from 1 to 100?

Answer:

There are two widely used methods for solving square roots from 1 to 100.

• Prime Factorization
• Long Division Method

Q3: How many Numbers in Square Roots 1 to 100 are Rational?

Answer:

The numbers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are perfect squares and hence their square roots are rational numbers. Thus the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are rational numbers in square roots from 1 to 100.

Q4: What is the Square Root of 100?

Answer:

The square root of the number 100 is 10, i.e.

√(100) = 10