. Square Root of Polynomials The square root of a given positive real number is another number which when multiplied with itself is the given number. Similarly, the square root of a given expression p ( x ) is another expression q ( x ) which when multiplied by itself gives p ( x ), that is, q x So, q x p x where q x ( ) is the absolute value of q ( x ) . The following two methods are used to find the square root of a given expression (i) Factorization method (ii) Division method Progress Check .
Is x a perfect square? . What is the value of x in x = ? .
The square root of x y is . . a x abx = . .
If a polynomial is a perfect square then, its factors will be repeated number of times (odd / even). . . Find the Square Root by Factorization Method Example .
Find the square root of the following expressions (i) ) ( ) ( ) ( (ii) a b c f g h Solution (i) ) ( ) ( ) ( ) ( ) ( ) ( (ii) a b c f g h = a b c f g h Example . Find the square root of the following expressions (i) xy (ii) ( (iii) Solution (i) xy + − )( ) )( ) (ii) ( (iii) First let us factorize the polynomials