Simplifying Complex Numbers and Fractions

The video tutorial explains how to simplify complex fractions by multiplying by the imaginary unit i, converting expressions to standard form, rationalizing denominators, and using conjugates for simplification. It provides step-by-step examples to illustrate these concepts, ensuring a clear understanding of handling complex numbers in mathematical expressions.

What is the result of simplifying 3 divided by 5i?

• -3/5i

• 3/5i

• -3/5

• 3/5

How do you convert 4 + 2i divided by 3i into standard form?

• Multiply by 2i

• Multiply by 4i

• Multiply by 3i

• Multiply by i

What is the standard form of 4 + 2i divided by 3i?

• 2/3 + 4/3i

• 4/3 + 2/3i

• 2/3 - 4/3i

• 4/3 - 2/3i

What is the first step in rationalizing the denominator of a complex fraction?

• Multiply by i

• Multiply by the denominator

• Multiply by the conjugate

• Multiply by the numerator

What is the result of rationalizing the denominator of 4 divided by 5i?

• 0 + 4/5i

• 0 - 4/5i

• 4/5 + 0i

• 4/5 - 0i

What is the conjugate of 3 + 2i?

• -3 - 2i

• -3 + 2i

• 3 + 2i

• 3 - 2i

What is the result of simplifying 8 divided by 3 + 2i using the conjugate?

• 24/13 - 16/13i

• 16/13 + 24/13i

• 16/13 - 24/13i

• 24/13 + 16/13i

What is the first step in simplifying 4 - 2i divided by 3 + 5i?

• Multiply by 5i

• Multiply by the conjugate

• Multiply by 4 - 2i

• Multiply by 3 + 5i

What is the simplified form of 4 - 2i divided by 3 + 5i?

• 1/17 - 13/17i

• 13/17 - 1/17i

• 1/17 + 13/17i

• 13/17 + 1/17i

What is the result of combining like terms in the expression 12 - 26i + 10i^2?

• 12 - 26i

• 2 - 26i

• 2 + 26i

• 12 + 26i