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

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


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 a perfect square if the digits sum is 4?

11 squared is 121


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