Square Root 1 to 100

Square root 1 to 100 is the list of square roots of all the numbers from 1 to 100. We know that the square root of a number is the number which when multiplied by itself gives the original number. In other words, if '3' is the square root of '9', it means that 3 × 3 = 9 and is expressed as √9 = 3. The square root of a number can have both negative and positive values. The positive values of all square roots 1 to 100 range from 1 to 10. In square roots from 1 to 100, the numbers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are perfect squares and the remaining numbers are non-perfect squares, i.e., their square root is irrational. The square root of a number in the radical form is expressed as √x and in the exponential form, it is expressed as (x)^½.

Square Root 1 to 100 Chart

The following figure shows a printable Square root table 1-100 pdf to assist students in prioritizing and planning their revision.

Learning square roots 1 to 100 helps the students to simplify the time-consuming long equations quickly. The value of square roots 1 to 100 up to 3 decimal places is listed in the table given below.

The students are advised to memorize these square root table 1-100 values thoroughly for faster math calculations. Click on the download button to save its PDF copy.

Square Root 1 to 100 for Perfect Squares

The following square root table 1 to 100 shows the values for perfect squares.

Square Root 1 to 100 for Non-Perfect Squares

The following square root table 1 to 100 shows the values for non-perfect squares.

☛ Check: Square Root Calculator

There are different methods to find the square roots of numbers. Let us see two methods of finding square roots here.

Method 1: Prime Factorization Method

The prime factorization of a number means to express that number as a product of prime numbers. To find the square root of a given number through the prime factorization method, we use the steps given below:

• Step 1: First, divide the given number into its prime factors.
• Step 2: Then, form pairs of factors such that both factors in each pair are equal.
• Step 3: After this step, take one factor from the pair.
• Step 4: Finally, find the product of the factors obtained by taking one factor from each pair.
• Step 5: This product is the square root of the given number.

Example: Find the value of √49

Solution:

• The prime factorization of 49 is 7 × 7
• Now, when we pair the factors, we get 7

Therefore, the value of √49 = 7

Method 2: Long Division Method

Example: Find the value of √8

Solution: Let us find the square root of 8 using long division in the following way.

Therefore, the value of √8 = 2.828

Square Roots of Numbers Between 1 to 100

FAQs on Square Root 1 to 100

What is the Value of Square Root 1 to 100?

The square roots 1 to 100 provide a list of numbers that give the original number when multiplied by itself. These numbers can have both negative and positive values. Between 1 to 100, the square roots of 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are whole numbers (rational), while the square roots of 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, and 99 are decimal numbers that are neither terminating nor recurring (irrational).

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

There are two methods that are commonly used to calculate the value of square roots from 1 to 100.

• We can use the prime factorization method for perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, and 100).
• For non-perfect squares (2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, and 99), the long division method can be used.

If you Take Square Root from 1 to 100, How Many of Them will be Irrational?

The numbers 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, and 99 are non-perfect squares. Hence, their square root will be an irrational number (cannot be expressed in the form of p/q where q ≠ 0).

What is the Value of 21 Plus 2 Square Root 784?

Using the square root chart 1 to 100, we get the square root of √784 as 28. So, 21 + 2 × √784 = 21 + 2 × 28 = 77. Hence, the value of 21 plus 2 square root 784 is 77.

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 so their square roots will be whole numbers, i.e., can be expressed in the form of p/q where q ≠ 0. Hence, the square root of numbers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are rational numbers.

What Values of Square Roots from 1 to 100 are Between 2 and 3 Inclusive?

The values of square roots 1 to 100 between 2 and 3 are √4 (2), √5 (2.236), √6 (2.449), √7 (2.646), √8 (2.828), and √9 (3).