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 ...
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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 ...
The side length of the square is the square root of 49. Since 7 × 7 = 49, the side of the square is 7 cm. So, the answer is 7 cm because area = side × side. Class 8 Mathematics ...
The square root of 64 is 8 because 8 × 8 = 64. Every perfect square has a positive and a negative square root, but here we consider only the positive root. So, √64 = 8. Class 8 Mathematics Ganita Prakash ...
The nth odd number is given by the formula 2n – 1. For example, the 1st odd number is 1, the 2nd is 3 and so on. This formula helps in calculating square numbers as sums of odd numbers. Class 8 ...