# 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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