# Square Root 1 to 100: List and Chart of Square Roots from 1 to 100

How to Simplify the Square Root of 100: sqrt(100)
How to Simplify the Square Root of 100: sqrt(100)

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.

## 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:

## 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?

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?

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?

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.