Root Calculator | Calculate The Root Values Of A Number

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What is the process of finding a root?

The inverse problem of raising a number to a power in math is to find its roots. A number can be rooted in two ways: by raising it to a power of two, by raising it to a power of three, by raising it to a power of four, etc. Roots with degrees greater than the second are assigned the higher degree above the root's sign, and those with degrees lower than the second are assigned the radical expression under the root's sign. 

How to estimate a root?

There are several ways to find the square root of any number from 10 to 99. To find the square Root of a number, you can use a specific table. In this case, the table's columns contain values of units, and the rows contain values of tens. We find cell 3969 at the intersection of rows and columns containing a two-digit square; for example, we must find row 6 and column 3. As the opposite of a square, to perform this action, you must first locate the cell with the radical you wish to calculate and then use the column and row values to find the answer. Take 169, for example. Calculate its square root using the appropriate tables. As a result, you can find its cubic and n-th degree roots. It is convenient to use this method because it is simple and requires no additional calculations. However, there are obvious disadvantages: the method can only be applied to a limited number of values (from 100 to 9801). A number that is outside the table will also not work.

Why is Square Root important?

A number's square Root is obtained by finding the number that produces the original number when it is squared; its square results from multiplying the number by itself. If three is multiplied by itself, it gives nine as the product. A square root is just the factor of a number that gives the original number when multiplied by itself. If the exponent is 2, it describes the square root of the number. For example, √n = n1/2, where n is a positive integer.

What is the method for finding square roots?

Those positive numbers that are perfect squares can be expressed as the product of one number by itself. Square roots are easy to find for perfect squares. Perfect squares are numbers expressed as power two values for any integer. There are four methods to find the square root of a number, which are as follows: 

• Method of Repeated Subtraction of Square Roots
• Method of the square root by prime factorization 
• An estimation method for square roots 
• Long division method for square roots

The first three methods are appropriate for dividing perfect squares. In contrast, the fourth method, i.e., the long division method, is suitable for any number, no matter whether it is a perfect square.