11 squared is 121
None, although "perfect square" tends to be used for whole numbers.
There are none.
1
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.
69
There are 17 such numbers.
18
14
16 of them.
If the number with the digits reversed can have a leading 0 so that it is a 1-digit number, then 16. Otherwise 13.
17 of them. 17 of them. 17 of them. 17 of them.
121.
To find the numbers between 10 and 87 with the sum of their digits equal to a perfect square, we need to consider each number individually. The perfect squares between 1 and 9 are 1, 4, and 9. For each perfect square, we can list the numbers that meet the criteria: For the perfect square 1, the numbers are 10, 19, 28, 37, 46, 55, 64, 73, 82. For the perfect square 4, the numbers are 40, 49, 58, 67, 76, 85. For the perfect square 9, the numbers are 90. Therefore, there are 14 numbers between 10 and 87 that have the sum of their digits equal to a perfect square.
the highest sum of the numbers is 17 and the lowest is 1. The only perfect squares in that range are 1,4,9, and 16. That means the following numbers will work: 10,13.18,22,27,31,36,40,45,54,63,72,79,81,88, and 90; that is 16 numbers
8362 = 698896
No. Square numbers (or perfect square numbers) are squares of integers. The perfect square numbers are 1, 4, 9, 16, 25, 36 ... 20 is not in the series.