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
- List of Square Roots from 1 to 100
- Table of Square Roots from 1 to 50
- Table of Square Roots from 51 to 100
- Square Root from 1 to 100 Chart
- Square Root from 1 to 100 for Perfect Squares
- How to Calculate Square Root from 1 to 100?
- Solved Examples on Square Root 1 to 100
- FAQs on Square Root 1 to 100

## 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,

## 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