Simplifying Complex Numbers

Front

Simplify: (3 + 2i) + (4i + 6)

Back

9 + 6i

Tags

CCSS.HSN.CN.A.2

Front

Find the sum: (5-2i) + (-7+8i)

Back

-2 + 6i

Tags

CCSS.HSN.CN.A.2

Front

Simplify: √-108

Back

6i√3

Front

Simplify: (10 + 15i) - (48 - 30i)

Back

-38 + 45i

Tags

CCSS.HSN.CN.A.2

Front

Simplify: √-25

Back

5i

Front

Define a complex number.

Back

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Tags

CCSS.HSN.CN.A.1

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Tags

CCSS.HSN.CN.A.1

Front

How do you add complex numbers?

Back

To add complex numbers, combine the real parts and the imaginary parts separately.

Tags

CCSS.7.NS.A.1C

Front

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

Back

The conjugate is a - bi.

Tags

CCSS.HSN.CN.A.3

Front

How do you multiply complex numbers?

Back

To multiply complex numbers, use the distributive property and apply the fact that i² = -1.

Tags

CCSS.HSN.CN.A.2