Oh No, Large Squares!
If you were only given that
can you find the sum of digits of the exact value of ?
Notes: Yes, don't use Wolfram Alpha or a calculator to solve this (though you may use a calculator to calculate the digit sum).
The answer is 91.
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1 solution
Difference of Two Squares: Let x = 5 6 1 7 2 8 3 9 5 and y = 4 3 8 2 7 1 6 0 6 x 2 − y 2 = ( x + y ) ( x − y ) 5 6 1 7 2 8 3 9 5 2 − 4 3 8 2 7 1 6 0 6 2 = ( 5 6 1 7 2 8 3 9 5 − 4 3 8 2 7 1 6 0 6 ) ( 5 6 1 7 2 8 3 9 5 + 4 3 8 2 7 1 6 0 6 ) 5 6 1 7 2 8 3 9 5 2 − 4 3 8 2 7 1 6 0 6 2 = 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 5 6 1 7 2 8 3 9 5 2 = 3 1 5 5 3 8 7 8 9 7 4 9 2 7 6 0 2 5