SOLUTION: 3333333334 squared equals a 20 digit number. What is the sum of the digits? I have to find a pattern and answer the question. I squared 4 which means 16 and then what do I do

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Question 44881: 3333333334 squared equals a 20 digit number. What is the sum of the digits?
I have to find a pattern and answer the question.
I squared 4 which means 16 and then what do I do with the 9 3's
Answer by josmiceli(6786) About Me  (Show Source):
You can put this solution on YOUR website!
You're given a 10-digit number to square
3333333334+=+3333333333+%2B+1
%283333333333+%2B+1%29%5E2+=+3333333333%5E2+%2B+2%283333333333%29+%2B+1
this is just %28a+%2B+b%29%5E2+=+a%5E2+%2B+2ab+%2B+b%5E2
The last 2 terms are 6666666666 +1
The digits add up to 61
what about 3333333333%5E2?
with my calculator,
33%5E2+=+1089
333%5E2+=+110889
3333%5E2+=+11108889
looking ahead,
3333333333%5E2+=+11111111108888888889
The digits add up to 9+%2B+72+%2B+9+=+90
90+%2B+61+=+151 answer
unless I made a mistake