Algebra 2 - Rationalizing the denominator with imaginary numbers and using conjugate, (3-4i)/(2-2i)

Why is it important to not have 'i' in the denominator of a rational expression?

• It is a standard mathematical convention.

• It complicates the calculation.

• It makes the expression imaginary.

• It makes the expression undefined.

What is the purpose of multiplying by the complex conjugate?

• To increase the value of the expression.

• To make the denominator real.

• To simplify the expression.

• To eliminate the imaginary part.

Which method is preferred by the teacher for organizing terms when multiplying complex numbers?

• FOIL method

• Long division

• Cross multiplication

• Box method

What is the value of 'i squared'?

• i

• 0

• -1

• 1

How do you combine like terms in the expression 8 + 6i - 8i?

• 14 + 2i

• 6 - 8i

• 6 + 8i

• 14 - 2i

What is the final form of a complex number?

• a + bi

• a - bi

• a * bi

• a / bi

What is the final simplified form of the expression 14/8 - 2i/8?

• 14/8 - i/4

• 14/8 + i/4

• 7/4 + i/4

• 7/4 - i/4