Read Chapter 05 Squares and Square Roots of NCERT Class 8 Mathematics
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Chapter 05 Squares and Square Roots PDF Resource
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6.1 Introduction
You know that the area of a square = side × side (where ‘side’ means ‘the length of a side’). Study the following table.
What is special about the numbers 4, 9, 25, 64 and other such numbers?
Since, 4 can be expressed as 2 × 2 = 22, 9 can be expressed as 3 × 3 = 32, all such umbers can be expressed as the product of the number with itself.
Such numbers like 1, 4, 9, 16, 25, ... are known as square numbers.
In general, if a natural number m can be expressed as n2, where n is also a natural number, then m is a square number. Is 32 a square number?
We know that 52 = 25 and 62 = 36. If 32 is a square number, it must be the square of a natural number between 5 and 6. But there is no natural number between 5 and 6.
Therefore 32 is not a square number. Consider the following numbers and their squares.
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NCERT Book for Class 8 Mathematics Chapter 05 Squares and Square Roots
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