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 ...
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1156 is a perfect square. Its prime factorisation is 2² × 17². All factors are in pairs. But 2800 = 2⁵ × 5² × 7, which has unpaired 2s and a 7, so 2800 is not a perfect square. Class 8 ...
Yes, 324 is a perfect square. Its prime factorisation is 2 × 2 × 3 × 3 × 3 × 3. These can be grouped into two equal groups. So, 324 = 18 × 18 and its square root is ...
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 ...
Yes, the sum of two consecutive triangular numbers gives a perfect square. For example, 1+3 = 4 (2²), 3+6 = 9 (3²). The next term in the pattern would be 10 + 15 = 25, which is 5². Class 8 Mathematics ...