250 is not a perfect square. We know 15² = 225 and 16² = 256, so √250 lies between 15 and 16. Since 250 is closer to 256, the approximate square root of 250 is slightly less than 16. Class 8 ...
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No, 500 is not a perfect cube. Its prime factors are 2 × 2 × 5 × 5 × 5. The 2s cannot be grouped into a triplet. So, 500 is not a cube because all factors must occur in ...
The locker numbers that remain open are the ones which are perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100. These numbers have an odd number of factors and remain open after all toggling. Class 8 Mathematics ...