Complex Conjugates

Front

What is the conjugate of a complex number in the form a + bi?

Back

The conjugate is a - bi.

Tags

CCSS.HSN.CN.A.3

Front

What is the conjugate of 5 + 7i?

Back

5 - 7i

Tags

CCSS.HSN.CN.A.3

Front

What is the result of adding two complex conjugates, (a + bi) and (a - bi)?

Back

The result is 2a.

Tags

CCSS.HSN.CN.B.6

Front

What is the result of adding (3 - 4i) and (3 + 4i)?

Back

6

Tags

CCSS.HSN.CN.A.2

Front

What is the product of a complex number and its conjugate, (a + bi)(a - bi)?

Back

The product is a^2 + b^2.

Tags

CCSS.HSN.CN.C.8

Front

What is the result of multiplying (5 + 2i) and (5 - 2i)?

Back

29

Tags

CCSS.HSN.CN.A.2

Front

What is the standard form of a complex number?

Back

a + bi, where a is the real part and b is the imaginary part.

Tags

CCSS.HSN.CN.A.1

Front

What is the sum of (1 + i) and (1 - i)?

Back

2

Tags

CCSS.HSN.CN.A.2

Front

How do you express a complex number in standard form?

Back

Combine the real parts and the imaginary parts separately.

Tags

CCSS.HSN.CN.A.1

Front

What is the imaginary unit i defined as?

Back

i is defined as the square root of -1.

Tags

CCSS.HSN.CN.A.1