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`t` to the 1/8th power

Math brain teasers require computations to solve.

 

Puzzle ID:#187
Fun:** (2.07)
Difficulty:*** (2.51)
Category:Math
Submitted By:trojan5x***
Corrected By:cnmne

 

 

 



How might a mathematician describe a number `t` held to the following condition:
When (t+1) is subtracted from t and the result is raised to the 1/8th power.

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Answer

Imaginary Number.
Whenever (t+1) is subtracted from `t`, you will simply be left with -1. -1 raised to the 1/8th power is the same as taking the positive root of something. When taking the positive root of any negative number, you are left with an imaginary number.

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