Thank you to Rachel for sending us her thoughts on Playing with Powers.
- 92 + 32 = 90
62 + 122 = 180
572 + 632 = 2406
- Both the pairs of numbers in each sum are a multiple of three to start with, before they have been squared.
- It works because when you multiply a multiple of three by itself its still a multiple of three and when you add two multiples of three together the sum is still divisible by three.
- 122 + 162 = 400
362 + 442 = 3,232
4442 + 336 = 310,032
- Both of the pairs of numbers in each sum are a multiple of 4 to start with before they have been squared.
- It works because when you multiply a multiple of four by itself its still a multiple of four and when you add two multiples of four together the sum will still divide by four.
- 52 + 652 = 4,250
152 + 5852 = 342,450
452 + 950002 = 9,025,002,025
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