Adding √^-31 + √^-31 is equivalent to adding two complex numbers.
Let's represent √^-31 as √31i^-1, where i is the imaginary unit.
So, √^-31 + √^-31 = √31i^-1 + √31i^-1.
To simplify this expression, we can multiply both terms by i/i to eliminate the negative exponent:
√31i^-1 + √31i^-1 = (√31i^-1)(i/i) + (√31i^-1)(i/i).
Using the property i^2 = -1, we have:
(√31i^-1)(i/i) + (√31i^-1)(i/i) = (√31i^2)/(i^2) + (√31i^2)/(i^2).
Simplifying further:
(√31i^2)/(i^2) + (√31i^2)/(i^2) = (√31(-1))/(-1) + (√31(-1))/(-1).
Finally, combining like terms and simplifying:
(√31(-1))/(-1) + (√31(-1))/(-1) = -√31 - √31 = -2√31.
Therefore, √^-31 + √^-31 = -2√31.
Add √^-31+ √^−31
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