The Cube Root of ii?

Algebra Level 2

First, you can read about the definition of ii, Imaginary Unit in the Brilliant.org Algebra Glossary

Let

\struti3=a+ib\sqrt[3]{\strut i}=\displaystyle \frac{\sqrt{a}+i}{b}

where aa and bb is positive integers and aa is not a square number.

What is the value of a+ba+b?


This problem is inspired by The Square Root of ii?

×

Problem Loading...

Note Loading...

Set Loading...