There are three parts to this month's challenge:

- In the equations below, the squares represent blanks which can be
filled with either a plus sign (+) or a minus sign (-). Find a sequence of
+'s and -'s that will make the first equation true. Find another sequence
that will make the second true.
**Source: USA Mathematical Talent Search** -
More generally, for which integers
*a*and*b*can you find a sequence of +'s and -'s to fill in the blanks to make the following true? -
What if we replace the square roots by
*n*^{th}roots?