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Square Root from 1 – 25

 

Square and Square root: A square is a number that is the product of an integer multiplied once by itself. For example, if the integer is 'm,' then m x m is known as the square of 'm.' Square is generally represented by the base raised to the power of two, i.e., m2.

The square root of a number is defined as the exact reverse process of squaring a number. We know that the square root is the number when multiplied by itself gives the original number. If n is the square root of m, then n x n equals m. The value of a square is always positive, but the square root of a number might provide two results, one positive and one negative. For instance, 242 = 484, but root 484 = +24 and -24. Positive numbers are formed by squaring negative numbers. For example, the square of (-13) is 169, which is a positive number.

The '√' sign represents the square root. This is known as the radical sign, and the word (integer) contained within it is regarded as the radicand. In the principles of exponents, the square root is specified as an integer raised to the power of '1/2'. If x is any numeric value, then the square root is (x1/2) or x0.5.

Some Properties of Square Root:

  • Some numbers with an even number of zeros have perfect square roots, but those with an odd number of zeros do not. For example, the root of 400 equals 20, and root 5000 equals 70.7106.
  • Values contained inside two square root values can be multiplied. For example, √a multiplied by √b equals √ab.
  • When two integers with square root values are multiplied together, the result is the radicand. For instance, when √10 is multiplied by √10, the result is 10 (without the square root sign).
  • Because a perfect square can never be negative (because the square of a negative integer is positive), the square root of a negative number is fictitious and falls under complicated mathematics.
  • A number that ends with 2, 3, 7, or 8 in the unit's place is not the perfect square of any integer. As a result, they offer decimal values for the square root, but numbers ending in the digits 1, 4, 5, 6, or 9 have a perfect square root. These values are non-decimal perfect integers.

Using these properties, we shall create a table of numbers from 1-25 and their square roots, respectively.

The table given below shows the square and square root values of numbers from 1 to 25:

 

Number

Square 

Square root

     

1

1

1

2

4

1.414

3

9

1.732

4

16

2.000

5

25

2.236

6

36

2.449

7

49

2.646

8

64

2.828

9

81

3.000

10

100

3.162

11

121

3.317

12

144

3.464

13

169

3.606

14

196

3.742

15

225

3.873

16

256

4.000

17

289

4.123

18

324

4.243

19

361

4.359

20

400

4.472

21

441

4.583

22

484

4.690

23

529

4.796

24

576

4.899

25

625

5.000

 

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