COMPUTATION OF SQUARE ROOT The square root of a given number is another number which when multiplied with itself results in the given number. Similarly, the square root of a given polynomial P(x) is another polynomial Q(x) which when multiplied by itself gives P(x). In the earlier classes you learnt to find square root of polynomials by factorisation method. Here, we find square root by the method of division. For polynomials of higher degree the method of division is very much useful. This method is similar to the division method of finding the square root of numbers.