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Complex Numbers

Last updated over 6 years ago
22 questions
1

Given the general form of a complex number, a+bi, (1) what is considered the real part of the complex number and (2) what is considered the imaginary part?

1

Given 3+4i, (1) what is the real part and (2) what is the imaginary part of the complex number?

1

Given 5+34i, (1) what is the imaginary part and (2) what is the real part of the complex number?

1

Given 15+i, (1) what is the real part and (2) what is the imaginary part of the complex number?

1

i²=

1

i³=

1

i4=

1

i5=

1

Simplify 4i2+2i+13.

1

Explain your process in simplifying the expression in Question 9.

1

Multiply (2+3i)(4+6i) and show the product in simpliest form.

1

Explain your process in multiplying and reducing in Question 11.

1

Multiply the two complex numbers (2-5i2)(7+3i) and show the product in simpliest form.

1

The conjugate of 5+8i is 5+8i.

1

The conjugate of a complex number involves the same real and imaginary part but changes the sign between them.

1

These two complex numbers are conjugates: (3+8i) and (3-8i).

1

The conjugate of 1+6i is 6+1i.

1

The conjugate of 4+i is _______.

1

What is the modulus if z= 7+9i. (Reduce to the simplest form)

1

Explain what steps you went through in Question 19 to find the modulus.

1

Use what we know about conjugates to simplify the following: (1+4i)/(9-5i)

1

Explain how you simplified the expression in Question 21.