RD Sharma Solutions for Class 8 Maths Chapter 3: Squares and Square Roots

The chapter deals with the concepts of Squares and Square Roots. Maths Chapter 3 Squares and Square Roots gives a brief explanation of square number, the concept of square roots, estimating square roots, finding square root by division method, finding square root through prime factorisation, finding square root through repeated subtraction, finding the square of a number, properties of square numbers, patterns of square numbers, square root of decimal numbers.

A number's square is the value produced by multiplying the number by itself. A number's square root is the value that, when multiplied by itself, will yield the original number. For instance, the square of 13 is 169, while the square root of 169 is 13. As a result, the square and square root concepts are opposed. There are 2 types of squares in mathematics:

• Perfect Square: If a whole number is multiplied by itself to create a specified number, the square root of an ant number is perfect. Example: Square root of 25 is 5.
• Imperfect Square: A square root of a number is imperfect if it is not multiplied by a whole number to create a specified number. Example: Square root of 14 is 3.742.

The students will learn about factorisation used to determine the square roots, factorised values, and prime factors in the chapter. It also discusses finding square roots of a number, the prime factorisation, the grouping of factors, the division method for finding square roots, and decomposition. The division method is also used to derive the square root of a given number. The chapter also teaches about the Pythagorean triplets. The Pythagorean Triplet comprises three positive numbers, a, b, and c, that satisfy Pythagoras' theorem a²+b²=c². Thus, positive integers such as 3,4 and 5 or 6, 8 and 10 are termed Pythagorean triples.

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