RD Sharma Solutions for Class 8 Chapter 3 “Squares and Square Roots”. Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers. The square root of a number, n, written below is the number that gives n when multiplied by itself. In this chapter, we will learn various techniques to determine whether a given natural number is a perfect square or not. We will also study some properties and patterns of square numbers. At the end of the chapter, we will try to find the square roots of numbers which are not a perfect square. Chapter deals with various topics like a square of a number and square numbers, properties and patterns of some square numbers, some short-cuts to finding squares (column method, visual method, diagonal method), square roots, square root of a perfect square by prime factorization, the relation between the digits of a perfect square and its square root, square roots of perfect squares by the method of long division, square roots of rational numbers in the form of fractions, square roots of rational numbers in decimal form, approximate values of square roots by using square root tables.