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

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) (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
-----

Answer by greenestamps(13203) (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).

RELATED QUESTIONS
the sum of the number and its square root is 6/25,then find the number ? (answered by shahid,jim_thompson5910)
sum of the number and its positive square root is 6/25. find the... (answered by oscargut)
A two-digit number is thrice as large as the sum of its digits,and the square of that sum (answered by ankor@dixie-net.com)
For a number of two digits, the sum of its digits is equal to 1/7th of the number and the (answered by ankor@dixie-net.com)
The sum of a positive real number and six times its reciprocal is equal to its cube.... (answered by mananth)
find a two digit number which has the square of sum of its digits equal to the number... (answered by stanbon)
a two digit number is 5 times the sum of its digits and is also equal to 5 more than the... (answered by Theo)
the sum of a non zero number and its square is equal to three times the number. what is... (answered by checkley77)
The sum of a number and its square is 156. What is the... (answered by bebedeeb)