Square Root 1 to 20
Square Root 1 to 20 is the list of square roots of all numbers from 1 to 20. Square root can have both positive and negative values. The positive values of square roots from 1 to 20 range from 1 to 4.47214.
In square roots 1 to 20, the numbers 1, 4, 9, and 16 are perfect squares, and the remaining numbers are nonperfect squares i.e. their square root will be irrational. The square root 1 to 20 in radical form is expressed as √x and in the exponential form, it is expressed as (x)^{½}.
Square Roots 1 to 20:
 In radical form: √x
 In exponential form: (x)^{½}
 Largest Square Root: √20 = 4.4721
Where x is any number between 1 to 20.
1.  Square Root from 1 to 20 
2.  Square Root 1 to 20 PDF 
3.  How to Calculate Square Root 1 to 20? 
4.  FAQs 
Square Root from 1 to 20 Chart
Square Root from 1 to 20
Learning square root 1 to 20 will help you to simplify the timeconsuming long equations quickly. The value of square roots 1 to 20 up to 3 decimal places is listed in the table below.
Square Root from 1 to 20 Rounded to 3 Decimal Places 

√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 
The students are advised to memorize these square roots 1 to 20 values thoroughly for faster math calculations. Click on the download button to save its PDF copy.
Square Root 1 to 20 for Perfect Squares
The table below shows the values of square roots from 1 to 20 for perfect squares.
√1 = 1 
√4 = 2 
√9 = 3 
√16 = 4 
Square Root 1 to 20 for NonPerfect Squares
The table below shows the values of 1 to 20 square roots for nonperfect squares.
√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 
☛ Check: Square Root Calculator
How to Calculate Square Root from 1 to 20?
Method 1: Prime Factorization
Example: Value of √4
 Prime factorization of 4 is 2 × 2
 Pairing prime factors: 2
Therefore, the value of √4 = 2
Method 2: Long Division Method
Square Roots of Numbers Between 1 to 20
Solved Examples on Square Root 1 to 20

Example 1: A square metal sheet has an area of 11 sq. inches. Find the length of the side of the metal sheet.
Solution:
Let ‘a’ be the length of the side of the metal sheet
Area of the square metal sheet = 11 in^{2} = a^{2}
i.e. a^{2} = 11
a = √11 = 3.317 in.
Therefore, the length of the side of the metal sheet is 3.317 inches.

Example 2: If a circular tabletop has an area of 15π sq. inches. Find the radius of the tabletop in inches?
Solution:
Area of circular tabletop = 15π in^{2} = πr^{2}
i.e. 15 = r^{2}. Hence, radius = √15
Using the values from 1 to 20 square root chart, the radius of the tabletop = √15 in = 3.873 in.

Example 3: Find the value of 9√15 + 6√13
Solution:
9√15 + 6√13 = 9 × (3.873) + 6 × (3.606) [the value of √15 = 3.873 and √13 = 3.606]
Therefore, 9√15 + 6√13 = 34.857 + 21.636 = 56.493
FAQs on Square Root 1 to 20
What is the Value of Square Root 1 to 20?
The value of square root 1 to 20 is a number (x^{1/2}) when multiplied by itself gives the original number. It can have both negative and positive values. Between 1 to 20, the square roots of 1, 4, 9, and 16 are whole numbers (rational), while the square roots of 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, and 20 are decimal numbers that are neither terminating nor recurring (irrational).
If You Take Square Roots from 1 to 20, How Many of Them Will be Irrational?
The numbers 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, and 20 are nonperfect squares. Hence their square root will be an irrational number (cannot be expressed in the form of p/q where q ≠ 0).
What are the Methods to Calculate Square Roots from 1 to 20?
There are two methods commonly used to calculate the value of square roots from 1 to 20. For perfect squares (1, 4, 9, and 16), we can use prime factorization method and for nonperfect squares (2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, and 20) long division method can be used.
What Values of Square Roots from 1 to 20 are Between 2 and 3 Inclusive?
The values of square roots 1 to 20 between 2 to 3 are √4 (2), √5 (2.236), √6 (2.449), √7 (2.646), √8 (2.828), and √9 (3).
What is the Value of 21 Plus 2 Square Root 16?
The value of √16 is 4. So, 21 + 2 × √16 = 21 + 2 × 4 = 29. Hence, the value of 21 plus 2 square root 16 is 29.
How Many Numbers in Square Roots 1 to 20 are Rational?
The numbers 1, 4, 9, and 16 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 the numbers 1, 4, 9, and 16 are rational numbers.
visual curriculum