Welcome to Mindspark

Please Enter Your Mobile Number to proceed

Get important information on WhatsApp
By proceeding, you agree to our Terms of Use and Privacy Policy.

Please Enter Your OTP

Resend OTP after 2:00 Minutes.

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. 

Ready to get started ?

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.