Hello, watsonmath!

Here are a few of them . . .

We have: .2d) If , find the real and imaginary parts of: .

Rationalize: .

Therefore: .

We have: .3. Find real numbers x and y such that:

. . . Ans:

Then: .

Two complex numbers are equal if their real components are equal

. . and their imaginary components are equal.

So we have: .

Solve the system and get: .

We have: .. . . Ans:

Then: .

Equate real and imaginary components: .

And we get: .