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Earn +20 ptsQ: How many two-digit numbers have digits whose sum is a perfect square?
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What is a perfect square if the digits sum is 4?
11 squared is 121
Difference between square and perfect square?
None, although "perfect square" tends to be used for whole numbers.
What number is a perfect square that is a 3 digits number which ends with 2?
There are none.
What is the meaning of perfect square numbers?
1
How many 2 digit numbers have digits whose sum is a perfect square?
To find the two-digit numbers whose digits sum to a perfect square, we first identify the possible sums of the digits, which range from 1 (1+0) to 18 (9+9). The perfect squares in this range are 1, 4, 9, and 16. The valid two-digit combinations for these sums are: for 4 (14, 23, 32, 41, 50), for 9 (18, 27, 36, 45, 54, 63, 72, 81, 90), and for 16 (79). Counting all valid combinations gives us a total of 20 two-digit numbers.
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