 # Describe Solving Square Roots

The square root of any number is equal to a number, which when squared gives the original number.

Let us consider p is a positive integer then,

⇒ √(p×p)

⇒ √p2

⇒ p

The square of any number can be calculated by multiplying the number with itself.

## Properties of  Square Roots

• A perfect square root occurs when a number is a perfect square number.
• A square root can be found if a number has an even number of zeros.
• It is possible to multiply the two square root values. For instance, if you multiply√2 by √3, the result should be√6.
• The product of multiplying two identical square roots should be a radical number. It indicates that the answer is non a square root number. If√3 is multiplied by√3,  the answer is 3.
• The square root of any negative numbers is not defined. Because the perfect square cannot be negative.
• The perfect square root does not exist if a number ends in 2, 3, 7, or 8 (in the unit digit).
• If the unit digit of a number ends in 1, 4, 5, 6, or 9, the number does have a square root.

### How do Find Square Root?

• To determine square the square root, we must first determine if it is a perfect square or an imperfect square.
• If the number is a perfect square, such as 4, 9, 16, etc., we can use the prime factorization method to factorize it.
• We must use the long division method to find the root if the number is an imperfect square, such as 2, 3, 5, and so on.

Example:

Square of 7 = 7 x 7 = 72 = 49
The square root of 49 is,

49 = 7 (1) (0)