Imaginary numbers

Front

What is the definition of 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 √-1?

Back

i

Tags

CCSS.HSN.CN.A.1

Front

How do you simplify -√-8?

Back

-2i√2

Front

What is the simplified form of √-45?

Back

3i√5

Front

How do you simplify the expression (10 + 15i) - (48 - 30i)?

Back

-38 + 45i

Tags

CCSS.HSN.CN.A.2

Front

What is the result of multiplying 2i by (4 - 3i)?

Back

6 + 8i

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CCSS.HSN.CN.A.2

Front

What is the imaginary unit 'i' defined as?

Back

i = √-1.

Tags

CCSS.HSN.CN.A.1

Front

What is the result of i^2?

Back

i^2 = -1.

Tags

CCSS.HSN.CN.A.1

Front

How do you express a complex number?

Back

A complex number is expressed in the form a + bi, where a is the real part and b is the imaginary part.

Tags

CCSS.HSN.CN.A.1

Front

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

Back

The conjugate is a - bi.

Tags

CCSS.HSN.CN.A.3