Question

Which signs do you have to fill in between the numbers to make this a true equation?
Numbers are: 2802, 1811, 123, 441, 3633, 1/3, 32 squared, and 205.
The signs you can use are addition, subtraction, multiplication, division, square root, and equals.

Answer 1

9514 1404 393

Answer:

  $2802+1811-123\times\sqrt{441}-3633\times\dfrac{1}{3}=32^2 -205$

Step-by-step explanation:

Both sides of the above expression evaluate to 819.

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Of course, the equal sign can be moved to the left to replace either of the minus operations. That is, two additional possibilities are ...

  $2802+1811-123\times\sqrt{441}=3633\times\dfrac{1}{3}+32^2 -205\\\\2802+1811=123\times\sqrt{441}+3633\times\dfrac{1}{3}+32^2 -205$

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Found by exhaustive search, evaluating 109,375 possible ways to write the expression.