square root of 225

This describes a "long hand" or manual method of calculating or extracting square roots. Calculation of a square root by hand is a little like long-hand division.

A square root of a number is the number that is multiplied by itself and gives the first number. For example, 2 is the square root of 4, because 2×2=4. Only numbers bigger than or equal to zero have real square roots, and a number bigger than zero has two square roots

square root of 225 = 3.873

Square root is the form of radical in which it is the method used in the mathematics. It has been given that the symbol for the radical form is (root) √. The value which is placed in the radical form is called as the radicand, in which it is the numeric value for the radical symbol of form (root) √. There are number of methods available in the root methods to solve they are,

Solve the square root of 225.

Solution:

Method 1: Long division method

15

1 | 225

| 1

25 | 125

| 125

0

The exact value for the square root of √225 is 15

Method 2:

√225 = √15^2

=(15^2)^1/2

= 15^2/2

= 15

or

√225

5 | 225

5 | 45

3 | 9

3

Therefore √5x5x3x3

= √5^2 x 3^2

= 5 x 3

= 15

In our next blog we shall learn about "factors of 56"

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