Students will learn how to find the square root of a complex number using the fact that two complex numbers are equal if and only if their real and imaginary parts are equal. After that, students will see two ways of finding the square root of \(i.\) Show them this method first, then this one.
Conclude by giving your students these challenges:
- 2017 Math Kangaroo Levels 5-6 Problem #29 by STEM4all
- Seven Flipped by NRICH
- 1999 AMC 8, Problem 23
- 2009 AMC 8, Problem 3
- Half Time by Pierce School: Problem / Solution