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.
| 22 | 4 | 122 | 144 | 222 | 484 | 322 | 1024 | 422 | 1764 |
| 32 | 9 | 132 | 169 | 232 | 529 | 332 | 1089 | 432 | 1849 |
| 42 | 16 | 142 | 196 | 242 | 576 | 342 | 1156 | 442 | 1936 |
| 52 | 25 | 152 | 225 | 252 | 625 | 352 | 1225 | 452 | 2025 |
| 62 | 36 | 162 | 256 | 262 | 676 | 362 | 1296 | 462 | 2116 |
| 72 | 49 | 172 | 289 | 272 | 729 | 372 | 1369 | 472 | 2209 |
| 82 | 64 | 182 | 324 | 282 | 784 | 382 | 1444 | 482 | 2304 |
| 92 | 81 | 192 | 361 | 292 | 841 | 392 | 1521 | 492 | 2401 |
| 102 | 100 | 202 | 400 | 302 | 900 | 402 | 1600 | 502 | 2500 |
| 112 | 121 | 212 | 441 | 312 | 961 | 412 | 1681 | 512 | 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: x2 = 64
Solution:
Given: x2 = 64
We know that the square of 8 is 64.
(i.e., 82 = 64)
Thus, x2 = 64 can be written as:
X2 = 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.
