# Square Root From 1 To 25

In mathematics, the square of a number refers to the value which we get after multiplying the same number by itself. If Y x Y= X, then the square root of X (√*X*) is equal to Y. Every non-negative number such as 1,2,3,4,5,… etc., can have a non-negative square root such √4=2,√9=3,√16=4, √25=5 etc. A perfect square number such as 36 can have +6 and -6 as a square root, because (6)^{2} =36 and (-6)^{2 }=36. This means that the square root of every square number can have both positive and negative value. Here, we are going to learn the values of square roots from 1 to 25. Also, get the square values of numbers from t to 50 in the tabular form.

## Square Root from 1 to 25 Table

The table given below shows the square values from 1 to 25:

Number (x) |
Square root of the Number (√X) (Rounded to 3 Decimal Places) |

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 |

Every non-negative number, if it is multiplied by itself, then the result is a square.

Just like the formulas of mathematics helps us to solve complex problems. Having a square root table handy will be useful while solving equations with speed and accuracy.

### Square Table (1 to 50)

As we know, if a number is multiplied by itself, we get the square of the given number. For example, the square of number 3 is 9, as the number 3 is multiplied by itself. Learning squares from 1 to 30 is very important, as the square values are helpful in solving many mathematical problems. The values of square from 1 to 30 are used in many mathematical concepts like algebra, geometry, and so on. The square values from number 1 to 50 are given in the tabular form.

2^{2} |
4 | 12^{2} |
144 | 22^{2} |
484 | 32^{2} |
1024 | 42^{2} |
1764 |

3^{2} |
9 | 13^{2} |
169 | 23^{2} |
529 | 33^{2} |
1089 | 43^{2} |
1849 |

4^{2} |
16 | 14^{2} |
196 | 24^{2} |
576 | 34^{2} |
1156 | 44^{2} |
1936 |

5^{2} |
25 | 15^{2} |
225 | 25^{2} |
625 | 35^{2} |
1225 | 45^{2} |
2025 |

6^{2} |
36 | 16^{2} |
256 | 26^{2} |
676 | 36^{2} |
1296 | 46^{2} |
2116 |

7^{2} |
49 | 17^{2} |
289 | 27^{2} |
729 | 37^{2} |
1369 | 47^{2} |
2209 |

8^{2} |
64 | 18^{2} |
324 | 28^{2} |
784 | 38^{2} |
1444 | 48^{2} |
2304 |

9^{2} |
81 | 19^{2} |
361 | 29^{2} |
841 | 39^{2} |
1521 | 49^{2} |
2401 |

10^{2} |
100 | 20^{2} |
400 | 30^{2} |
900 | 40^{2} |
1600 | 50^{2} |
2500 |

11^{2} |
121 | 21^{2} |
441 | 31^{2} |
961 | 41^{2} |
1681 | 51^{2} |
2601 |

### Problems on Square Root from 1 to 25

Go through the following problems to understand the concept of squares and square roots:

**Example 1: **

Find the value of x, if x√9 = 27.

**Solution:**

Let x√9 = 27 …(1)

We know that the square root of 9, √9 is 3.

Now, substitute √9 = 3 in (1), we get

x(3)= 27

x = 27/3

x = 9

**Example 2:**

Simplify: x^{2} = 64

**Solution:**

Given: x^{2} = 64

We know that the square of 8 is 64.

(i.e., 8^{2} = 64)

Thus, x^{2} = 64 can be written as:

X^{2} = 82

Now, cancel the squares on both the sides, we get

x=8.

(or)

Also, the given equation can be solved as:

x = √64

x= 8

Hence, the value of x is 8.

## Frequently Asked Questions on Square Root From 1 to 25

### What is the value of the square root of 25?

The square root of 25, √25 is 5. (i.e) √(5×5) = √(5)^{2} = 5.

### What is the square of 9?

The square of 9 is 81. If the number 9 is multiplied by itself, we get the square value of 9. (9×9 = 81)

### What are the square and the square root of the number 16?

The square root of 16 is 4 (√16 = √(4× 4)= 4 )

The square of 16 is 256. (16×16= 256)

### What is the square root of -1?

The square of -1 is the unit imaginary number. (i.e.,) √-1 = i.

### Is 16 a perfect square?

Yes, 16 is a perfect square. We know that the perfect squares are the square of the whole number. If number 4 is squared, we get the perfect square number 16.

Knowing the squares and square roots table while solving long equations will be helpful for achieving faster results. Download BYJU’S-The Learning App to learn with the help of interactive videos.