Square Root 1 to 50
Square root 1 to 50 is the list of square roots of numbers from 1 to 50. The value of square root can be both positive and negative. The positive values of square roots from 1 to 50 range from 1 to 7.07.
In square roots 1 to 50, the numbers 1, 4, 9, 16, 25, 36, and 49 are perfect squares and the others are non-perfect squares i.e. they will have an irrational square root. The square root 1 to 50 in radical form is expressed as √x and in the exponential form it is expressed as (x)½.
Square Roots 1 to 50:
- In radical form: √x
- In exponential form: (x)½
Where x is any number between 1 to 50.
| 1. | Square Root from 1 to 50 |
| 2. | Square Root 1 to 50 PDF |
| 3. | How to Calculate Square Root 1 to 50? |
| 4. | FAQs |
Square Root from 1 to 50 Chart
Square Root from 1 to 50
Learning square roots from 1 to 50 will help students in simplifying the time-consuming long equations quickly. The value of square roots 1 to 50 up to 3 decimal places is listed in the table below.
|
√1 = 1.000 |
√2 = 1.414 |
√3 = 1.732 |
√4 = 2.000 |
|
√5 = 2.236 |
√6 = 2.449 |
√7 = 2.646 |
√8 = 2.828 |
|
√9 = 3.000 |
√10 = 3.162 |
√11 = 3.317 |
√12 = 3.464 |
|
√13 = 3.606 |
√14 = 3.742 |
√15 = 3.873 |
√16 = 4.000 |
|
√17 = 4.123 |
√18 = 4.243 |
√19 = 4.359 |
√20 = 4.472 |
|
√21 = 4.583 |
√22 = 4.690 |
√23 = 4.796 |
√24 = 4.899 |
|
√25 = 5.000 |
√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 = 6.000 |
|
√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 = 6.856 |
√48 = 6.928 |
|
√49 = 7 |
√50 = 7.071 |
The students are advised to memorize these square roots 1 to 50 values for faster math calculations. Click on the download button to save its PDF copy.
Square Root 1 to 50 - Perfect Squares
The table below shows the values of square roots 1 to 50 for perfect squares.
|
√1 = 1 |
√25 = 5 |
|
√4 = 2 |
√16 = 4 |
|
√9 = 3 |
√49 = 7 |
Square Root 1 to 50 - Non-Perfect Squares
The table below shows the values of square root 1 to 50 for non-perfect 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 |
|
√21 = 4.583 |
√22 = 4.690 |
√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 = 6.856 |
√48 = 6.928 |
√50 = 7.071 |
How to Calculate Square Root from 1 to 50?
Method 1: Prime Factorization
Example: Value of √49
- Prime factorization of 49 is 7 × 7
- Pairing prime factors: 7
Therefore, the value of √49 = 7
Method 2: Long Division Method
FAQs on Square Root 1 to 50
What is the Value of Square Root 1 to 50?
The value of square root 1 to 50 is a number (x1/2) when multiplied by itself gives the original number(x). It can have both negative and positive values. Between 1 to 50, the square roots of 1, 4, 9, 16, 25, 36, and 49 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, and 50 are decimal numbers that are neither terminating nor recurring (irrational).
What Values of Square Roots 1 to 50 are Between 4 and 5?
The values of square roots from 1 to 50 between 4 and 5 are √17 (4.123), √18 (4.243), √19 (4.359), √20 (4.472), √21 (4.583), √22 (4.690), √23 (4.796), √24 (4.899).
What are the Methods to Calculate the Value of Square Roots 1 to 50?
Square roots from 1 to 50 can be calculated by using 2 methods. For perfect squares i.e. 1, 4, 9, 16, 25, 36, and 49, we can use prime factorization method and for calculating the values of non-perfect squares i.e 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, and 50 long division method can be used.
What is the Value of 10 Square Root 50 Minus 11?
The value of √50 is 7.071. So, 10 × √50 - 11 = 10 × 7.071 - 11= 59.71. Hence, the value of 10 square root 50 minus 11 is 59.71.
How Many Numbers in Square Roots 1 to 50 are Rational?
The numbers 1, 4, 9, 16, 25, 36, and 49 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 roots of numbers 1, 4, 9, 16, 25, 36, and 49 are rational numbers.
If you Take Square Root from 1 to 50, 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 are non-perfect squares. Hence their square root will be irrational (their values cannot be expressed in the form of p/q where q ≠ 0).