No, 156 is not a perfect square. Its prime factorisation is 2 × 2 × 3 × 13. The factors cannot be paired equally. Since 13 is unpaired, 156 cannot be written as a product of equal numbers. So, not a square.
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
156 is not a perfect square because its prime factors are 2 × 2 × 3 × 13. Although 2 × 2 can form a pair, 3 and 13 remain unpaired. A perfect square must have all its prime factors in pairs. Since we cannot group all the factors of 156 into equal pairs, it cannot be written as a number multiplied by itself. Therefore, 156 is not a perfect square.
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