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.

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.

Test your Knowledge on Square Root From 1 To 25

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