SOLUTION: Find the least whole number that must be added to 1122 to get the perfect square number.

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Question 1185469: Find the least whole number that must be added to 1122 to get the perfect square number.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the least whole number that must be added to 1122 to get the perfect square number
x%2B1122=x%5E2
x%5E2-x=1122 ....complete square
x%5E2-x%2Bb%5E2-b%5E2=1122+
%28x%5E2-x%2Bb%5E2%29-b%5E2=1122 ..........b=1%2F2
%28x+-+1%2F2%29%5E2+-+1%2F4=1122
%28x+-+1%2F2%29%5E2+=1122%2B1%2F4
%28x+-+1%2F2%29%5E2+=4489%2F4
x+-+1%2F2+=sqrt%284489%2F4%29
x+-+1%2F2+=67%2F2
x++=67%2F2%2B1%2F2
x++=68%2F2+
x=34
check:
34%2B1122=1156=34%5E2

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find the least whole number that must be added to 1122 to get the perfect square number.
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The square root of the number 1122 is  sqrt%281122%29 = use your calculator = 33.496....


So the closest integer square to the number  1122,  greater than 1122,  is  34%5E2 = 1156.


It means that the least whole number which should be added to 1122 to get the perfect square number is 


     1156 - 1122 = 34.     ANSWER

Solved.