# An algebra problem by Sandeep Bhardwaj

**Algebra**Level 5

\[\large |1+z|+|1-z+z^2|\]

Let \(z\) be a complex number with \(|z|=1\), then find the maximum value of the above expression. Give you answer to 3 decimal places.

\[\large |1+z|+|1-z+z^2|\]

Let \(z\) be a complex number with \(|z|=1\), then find the maximum value of the above expression. Give you answer to 3 decimal places.

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