1. Explain in detail how to find in for any positive integer n. 2. Find a number a + bi such that a 2 + b 2 is irrational. 3. Let w = a + bi and  = a – bi, where a and b are real numbers. Show that...

1. Explain in detail how to find in for any positive integer n.

2. Find a number a + bi such that a²
+ b²
is irrational.

3. Let w = a + bi and  = a – bi, where a and b are real numbers. Show that  is real and that  is imaginary. Write sentences (containing no mathematical symbols) stating these results.