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How many two-digit numbers have digits whose sum is a perfect square?

To find how many two-digit numbers have digits whose sum is a perfect square, we first note that the two-digit numbers range from 10 to 99. The possible sums of the digits (tens digit (a) and units digit (b)) can range from 1 (1+0) to 18 (9+9). The perfect squares within this range are 1, 4, 9, and 16. Analyzing each case, we find the valid combinations for each perfect square, leading to a total of 36 two-digit numbers whose digits sum to a perfect square.


Is the three-digit number X64 a perfect square?

x64 is not a perfect square any number if it is a 3-digit perfect square and ending with 4 it can be 144,324 ,484 and 784 because the number is ending with 4 but the tens digit is not matching to any of the option so it is not a perfect square


What is a 4 digit perfect square and perfect cube?

I am pretty sure you can figure this out on your own. Raise different numbers to the square, until you get a 4-digit result. Similary, calculate the cube of different numbers, until you get a 4-digit number. If you want the SAME number to be both a perfect square and a perfect cube, then it must be a power of 6. In that case, just experiment raising different numbers to the sixth power, until you get a 4-digit number.


What is a perfect square if the digits sum is 4?

11 squared is 121


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.

Related Questions

How many two-digit numbers have digits whose sum is a perfect square?

To find how many two-digit numbers have digits whose sum is a perfect square, we first note that the two-digit numbers range from 10 to 99. The possible sums of the digits (tens digit (a) and units digit (b)) can range from 1 (1+0) to 18 (9+9). The perfect squares within this range are 1, 4, 9, and 16. Analyzing each case, we find the valid combinations for each perfect square, leading to a total of 36 two-digit numbers whose digits sum to a perfect square.


Is the three-digit number X64 a perfect square?

x64 is not a perfect square any number if it is a 3-digit perfect square and ending with 4 it can be 144,324 ,484 and 784 because the number is ending with 4 but the tens digit is not matching to any of the option so it is not a perfect square


What is the largest 4 digit perfect square?

9801


What is the perfect square if the digits sum is 4?

121.


What is the biggest 4 digit perfect square?

992 = 9,801


What is the ones digit of the largest nine-digit perfect square?

It's 4. (31,622)2 = 999,950,884 .


What is a 4 digit perfect square and perfect cube?

I am pretty sure you can figure this out on your own. Raise different numbers to the square, until you get a 4-digit result. Similary, calculate the cube of different numbers, until you get a 4-digit number. If you want the SAME number to be both a perfect square and a perfect cube, then it must be a power of 6. In that case, just experiment raising different numbers to the sixth power, until you get a 4-digit number.


What is a perfect square if the digits sum is 4?

11 squared is 121


What two digit number whose cube root is the square root of the sum of its digit?

Well, let's see. Perfect cubes that are two digits: 27 64 Could it be 27? Well, 2+7 is 9, and that's a perfect square with a square root of 3, and the cube root of 27 is three. Looks like we've found our answer, especially since 6+4 = 10, which is NOT a perfect square.


What is the smallest 4 digit perfect squa re?

1024, square of 32.


Why does an addition problem that has a 4 digit addends could have a 5digit sum?

What is the sum of greatest 3-digit 4-digit 5digit


What is a 4-digit number that is a perfect square an d a perfect cube?

4,096 = (64)2 = (16)3