SOLUTION: The sum of a natural number and its square and its square root is equal to 5310768. The sum of the digits of the number is... answers are, 19,18,17,16,9

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Question 1188990: The sum of a natural number and its square and its square root is equal to 5310768. The sum of the digits of the number is...
answers are,
19,18,17,16,9

Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of a natural number and its square and its square root is equal to 5310768
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sqrt%285310768%29+=+2304.51

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


If the sum of the number, the square of the number, and the square root of the number is a 7-digit number, then both the number itself and the square root of the number are very small compared to the square of the number.

So most of the sum of 5310768 is the square of the number. To find the number, simply take the square root of the given sum and round down to the next natural number.

sqrt(5310768) = 2304.51 to a couple of decimal places

ANSWER: The number is 2304

You can use that to find the answer to the problem (sum of the digits of the number).