To check if a number is a perfect square, we list square numbers or use prime factorisation. If its factors make perfect pairs, it’s a square. Then we can find its square root by grouping those pairs and multiplying one factor from each.
Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube NCERT solutions
Class 8 Mathematics Chapter 1 A Square and A Cube question answer
To check if a number is a perfect square, we can use two methods. One is by listing perfect squares (1², 2²… etc.) and checking if the number matches one. The other is prime factorisation—if all factors can be grouped into pairs, then it’s a perfect square. To find its square root, take one number from each pair and multiply. For example, 576 = (2×2×2×2×3×3), so √576 = 24.
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