Complex Numbers

Front

What does i² equal?

Back

-1

Tags

CCSS.HSN.CN.A.1

Front

What is the simplified form of (8 - 3i)²?

Back

55 - 48i

Tags

CCSS.HSN.CN.C.8

Front

Simplify: (7 + 2i)(9 - 6i)

Back

75 - 24i

Tags

CCSS.HSN.CN.A.2

Front

Simplify: 3i + 5i + 2i + 10

Back

10i + 10

Tags

CCSS.HSN.CN.A.2

Front

Simplify: √-25

Back

5i

Front

What is the definition of 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.

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CCSS.HSN.CN.A.1

Front

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

Back

The conjugate of a complex number a + bi is a - bi.

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CCSS.HSN.CN.A.3

Front

How do you add complex numbers?

Back

To add complex numbers, add their real parts and their imaginary parts separately.

Tags

CCSS.7.NS.A.1C

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