Square Root 1 to 100

Exploring squares from 1 to 40 delves into the realm of rational and irrational numbers, a fundamental concept in mathematics. Through algebraic principles, this range highlights both perfect squares, where the Square and square root yields rational results, and non-perfect squares, producing irrational outcomes. Understanding squares within this integer range extends beyond basic arithmetic, offering insights into geometry, statistics, and the least square method, crucial for data analysis and modeling in various fields

Download Square Root 1 to 100 in PDF

Squares from 1 to 40 represent the set of numbers obtained by multiplying each integer from 1 to 40 by itself. These squares include both perfect squares, where the result is an integer, and non-perfect squares, resulting in irrational numbers. Understanding squares within this range is fundamental in mathematics, providing insights into algebraic patterns, geometry, and statistical analysis.

Square Root 1 to 100

In radical form: √x

In exponential form: (x)¹/²

Largest Square Root: √100 = 10.

Where x is any number between 1 to 20

Square Root 1 to 100 Chart

Download Square Root 1 to 100 in PDF

Square Root	Value
√1	1
√2	1.414
√3	1.732
√4	2
√5	2.236
√6	2.449
√7	2.646
√8	2.828
√9	3
√10	3.162
√11	3.317
√12	3.464
√13	3.606
√14	3.742
√15	3.873
√16	4
√17	4.123
√18	4.243
√19	4.359
√20	4.472
√21	4.583
√22	4.69
√23	4.796
√24	4.899
√25	5
√26	5.099
√27	5.196
√28	5.292
√29	5.385
√30	5.477
√31	5.568
√32	5.657
√33	5.745
√34	5.831
√35	5.916
√36	6
√37	6.083
√38	6.164
√39	6.245
√40	6.325
√41	6.403
√42	6.481
√43	6.557
√44	6.633
√45	6.708
√46	6.782
√47	6.855
√48	6.928
√49	7
√50	7.071
√51	7.141
√52	7.211
√53	7.28
√54	7.348
√55	7.416
√56	7.483
√57	7.55
√58	7.616
√59	7.681
√60	7.746
√61	7.81
√62	7.874
√63	7.937
√64	8
√65	8.062
√66	8.124
√67	8.185
√68	8.246
√69	8.307
√70	8.367
√71	8.426
√72	8.485
√73	8.544
√74	8.602
√75	8.66
√76	8.718
√77	8.775
√78	8.832
√79	8.888
√80	8.944
√81	9
√82	9.055
√83	9.11
√84	9.165
√85	9.22
√86	9.274
√87	9.327
√88	9.38
√89	9.434
√90	9.487
√91	9.539
√92	9.592
√93	9.644
√94	9.695
√95	9.747
√96	9.798
√97	9.848
√98	9.899
√99	9.95
√100	10

This table displays the square roots of numbers from 1 to 100 in a systematic format. Each entry presents the square root value alongside its corresponding number.

More About Square Root 1 to 100

Square Root of 1	Square Root of 2	Square Root of 3	Square Root of 4	Square Root of 5
Square Root of 6	Square Root of 7	Square Root of 8	Square Root of 9	Square Root of 10
Square Root of 11	Square Root of 12	Square Root of 13	Square Root of 14	Square Root of 15
Square Root of 16	Square Root of 17	Square Root of 18	Square Root of 19	Square Root of 20
Square Root of 21	Square Root of 22	Square Root of 23	Square Root of 24	Square Root of 25
Square Root of 26	Square Root of 27	Square Root of 28	Square Root of 29	Square Root of 30
Square Root of 31	Square Root of 32	Square Root of 33	Square Root of 34	Square Root of 35
Square Root of 36	Square Root of 37	Square Root of 38	Square Root of 39	Square Root of 40
Square Root of 41	Square Root of 42	Square Root of 43	Square Root of 44	Square Root of 45
Square Root of 46	Square Root of 47	Square Root of 48	Square Root of 49	Square Root of 50
Square Root of 51	Square Root of 52	Square Root of 53	Square Root of 54	Square Root of 55
Square Root of 56	Square Root of 57	Square Root of 58	Square Root of 59	Square Root of 60
Square Root of 61	Square Root of 62	Square Root of 63	Square Root of 64	Square Root of 65
Square Root of 66	Square Root of 67	Square Root of 68	Square Root of 69	Square Root of 70
Square Root of 71	Square Root of 72	Square Root of 73	Square Root of 74	Square Root of 75
Square Root of 76	Square Root of 77	Square Root of 78	Square Root of 79	Square Root of 80
Square Root of 81	Square Root of 82	Square Root of 83	Square Root of 84	Square Root of 85
Square Root of 86	Square Root of 87	Square Root of 88	Square Root of 89	Square Root of 90
Square Root of 91	Square Root of 92	Square Root of 93	Square Root of 94	Square Root of 95
Square Root of 96	Square Root of 97	Square Root of 98	Square Root of 99	Square Root of 100

Square Root 1 to 100 for Perfect Squares

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

This table lists the perfect square numbers from 1 to 100 alongside their respective square roots. Perfect squares are numbers that result from multiplying an integer by itself, thus their square roots are integers.

Square Root 1 to 100 for Non-Perfect Squares

Number	Square Root
√2	1.414
√3	1.732
√5	2.236
√6	2.449
√7	2.646
√8	2.828
√10	3.162
√11	3.317
√12	3.464
√13	3.606
√14	3.742
√15	3.873
√17	4.123
√18	4.243
√19	4.359
√20	4.472
√21	4.583
√22	4.69
√23	4.796
√24	4.899
√26	5.099
√27	5.196
√28	5.292
√29	5.385
√30	5.477
√31	5.568
√32	5.657
√33	5.745
√34	5.831
√35	5.916
√37	6.083
√38	6.164
√39	6.245
√40	6.325
√41	6.403
√42	6.481
√43	6.557
√44	6.633
√45	6.708
√46	6.782
√47	6.855
√48	6.928
√50	7.071
√51	7.141
√52	7.211
√53	7.28
√54	7.348
√55	7.416
√56	7.483
√57	7.549
√58	7.616
√59	7.681
√60	7.746
√61	7.81
√62	7.874
√63	7.937
√65	8.062
√66	8.124
√67	8.185
√68	8.246
√69	8.307
√70	8.367
√71	8.426
√72	8.485
√73	8.544
√74	8.602
√75	8.66
√77	8.774
√78	8.832
√79	8.888
√80	8.944
√82	9.055
√83	9.11
√84	9.165
√85	9.22
√86	9.274
√87	9.327
√88	9.38
√89	9.434
√90	9.487
√91	9.539
√92	9.591
√93	9.643
√94	9.695
√95	9.746
√97	9.849
√98	9.899
√99	9.95

This table provides the square roots of non-perfect squares from 1 to 100. Each entry shows a number and its corresponding square root value.

How to Find Square Root from 1 to 100?

To find the square root of numbers from 1 to 100, you can use various methods such as:

• Prime Factorization Method: Express the number as a product of its prime factors and then group the factors into pairs. The square root will be the product of the square roots of each pair.
• Estimation Method: Find the nearest perfect squares to the given number and then estimate the square root based on those perfect squares.
• Long Division Method: Use the long division method to find the square root by iterative approximation.
• Calculator: Utilize a calculator with a square root function to directly compute the square roots of the numbers from 1 to 100.

FAQs

Can I estimate the square root of a number without knowing its exact value?

Yes, you can use estimation techniques to approximate the square root, especially useful for non-perfect square numbers.

Is there a pattern in the square roots of consecutive numbers?

Yes, generally, as the numbers increase, their square roots also increase, but not necessarily in a linear fashion.

Why are square roots important in mathematics?

Square roots are fundamental in various mathematical concepts and real-world applications, including geometry, physics, and engineering.