Imaginary Numbers

Front

What is an imaginary number?

Back

An imaginary number is a number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

Tags

CCSS.HSN.CN.A.1

Front

What is the value of i^2?

Back

i^2 = -1.

Tags

CCSS.HSN.CN.A.1

Front

Simplify √-81.

Back

9i.

Front

Simplify √-4.

Back

2i.

Front

What is the value of i^3?

Back

i^3 = -i.

Tags

CCSS.HSN.CN.A.2

Front

What is the value of i^4?

Back

i^4 = 1.

Tags

CCSS.HSN.CN.A.2

Front

What is the product of (2i)(3i)?

Back

-6.

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CCSS.HSN.CN.A.2

Front

Multiply: (2-5i)(2+5i).

Back

29.

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CCSS.HSN.CN.A.2

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 add complex numbers?

Back

Add the real parts and the imaginary parts separately.

Tags

CCSS.7.NS.A.1C