The square root of numbers between 1 to 50
In this article, we will look at the square root of 1 to 50.
We can calculate the square of a number by multiplying the number by itself. For example, upon squaring 2 with itself, we get 4. Here, the square of 2 is 4. Here, 2 is the square root of 4, denoted by √4=2. The square root of a number is any number that gives the square number when multiplied with itself.
Every non-negative number (1,2,3,4…) has a positive or negative square root.In this article, we will look at the square root of numbers from 1 to 50 and some perfect square numbers from 1 to 50 with their roots.
Square roots of numbers from 1 to 50
Let us look at this table which has the square roots of all numbers between 1 and 50. This table is a handy tool to solve many maths problems without getting stuck in long calculations.
Number | Square Root | Number | Square Root |
1 | 1 | 26 | 5.099 |
2 | 1.414 | 27 | 5.196 |
3 | 1.732 | 28 | 5.292 |
4 | 2 | 29 | 5.385 |
5 | 2.236 | 30 | 5.477 |
6 | 2.449 | 31 | 5.568 |
7 | 2.646 | 32 | 5.657 |
8 | 2.828 | 33 | 5.745 |
9 | 3 | 34 | 5.831 |
10 | 3.162 | 35 | 5.916 |
11 | 3.317 | 36 | 6 |
12 | 3.464 | 37 | 6.083 |
13 | 3.606 | 38 | 6.164 |
14 | 3.742 | 39 | 6.245 |
15 | 3.873 | 40 | 6.325 |
16 | 4 | 41 | 6.403 |
17 | 4.123 | 42 | 6.481 |
18 | 4.234 | 43 | 6.557 |
19 | 4.359 | 44 | 6.633 |
20 | 4.472 | 45 | 6.708 |
21 | 4.583 | 46 | 6.6.782 |
22 | 4.690 | 47 | 6.856 |
23 | 4.796 | 48 | 6.928 |
24 | 4.899 | 49 | 7 |
25 | 5 | 50 | 7.071 |
Square of numbers from 1 to 50
Another important table that will help you solve mathematical problems in no time is given below. This table consists of squares of numbers from 1 to 50.
Number | Square | Number | Square |
1 | 1 | 26 | 676 |
2 | 4 | 27 | 729 |
3 | 9 | 28 | 784 |
4 | 16 | 29 | 841 |
5 | 25 | 30 | 900 |
6 | 36 | 31 | 961 |
7 | 49 | 32 | 1024 |
8 | 64 | 33 | 1089 |
9 | 81 | 34 | 1156 |
10 | 100 | 35 | 1225 |
11 | 121 | 36 | 1296 |
12 | 144 | 37 | 1369 |
13 | 169 | 38 | 1444 |
14 | 196 | 39 | 1521 |
15 | 225 | 40 | 1600 |
16 | 256 | 41 | 1681 |
17 | 289 | 42 | 1764 |
18 | 324 | 43 | 1849 |
19 | 361 | 44 | 1936 |
20 | 400 | 45 | 2025 |
21 | 441 | 46 | 2116 |
22 | 484 | 47 | 2209 |
23 | 529 | 48 | 2304 |
24 | 576 | 49 | 2401 |
25 | 625 | 50 | 2500 |
In the series, 1, 4, 9, 16, 25, 36, and 49 are perfect numbers, and others are non-perfect square numbers because their square roots are not whole numbers. .
√1 = 1 |
√4 = 2 |
√9 = 3 |
√16 = 4 |
√25 = 5 |
√36 = 6 |
√49 = 7 |
Knowing the square root of different numbers will help you solve all sorts of mathematical problems in no time.
Prime factorization
For example, let’s find the square root of the number 16
We know that the factors of 16 are 2 x 2 x 2 x 2
16 = 2 x 2 x 2 x 2
Square rooting on both sides gives,
√16 = √(2 x 2 x 2 x 2)
Now, we can make two pairs of 2 and get,
√16 = √(4 x 4)
Therefore, 4 is the square root of 16.
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Frequently Asked Questions
1. What do you understand by the square root of a number?
Ans: Square root refers to an inverse of squaring a number. We can calculate the square root of a number by the long division method or the prime factorization method.
2. How to find the value of square roots of numbers between 1 and 50?
Ans: For perfect squares such as 1, 4, 9, 16, etc., you can find the square root by the prime factorization method. For non-perfect squares, you can find the value of square root by the long division method.
3. Write the rational square root numbers between 1 and 50.
Ans: There are seven rational square root numbers between 1 to 50, i.e., 1, 4, 9, 16, 25, 36, and 49. These are rational numbers because when their square roots can be expressed in a fractional form, the denominator is not equal to 0.