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Complex Numbers: Mixed Review

Complete:

If z=5+6i then Re(z)=________.

Complete:

If z=5+6i then Im(z)=________.

Complete:

5+2i is a ____________.

Is the sentence true or false?

If α\alpha is real number and β\beta is complex number then α+β\alpha+\beta is complex number.

Which one is a real number?

Complete:

Seven is a __________.

Complete:

For a complex number a+ib, imaginary part is represented with ________.

Is the sentence true or false?

i5=1i^5=1.

Complete:

For a complex number, i2=i^2= ________.

Is the sentence true or false?

If α is real number and β is complex number then αβ is real number.