How do you add complex numbers?

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

Resource Library

Math

Algebra

Imaginary Numbers

Imaginary Numbers Review

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSN.CN.A.2, HSN.CN.A.1, HSN.CN.C.8

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the value of $\sqrt{-64}$ ?

Back

$8i$

FLASHCARD QUESTION

Front

What is $\sqrt{-1}$ ?

Back

$i$

Tags

CCSS.HSN.CN.A.1

FLASHCARD QUESTION

Front

Simplify the expression $1 - 2i - 4 + 2i$ .

Back

$-3$

Tags

CCSS.HSN.CN.A.2

FLASHCARD QUESTION

Front

What is the value of $\sqrt{-12}$ ?

Back

$2i\sqrt{3}$

FLASHCARD QUESTION

Front

Simplify $4i(13i + 5)$ .

Back

$-52 + 20i$

Tags

CCSS.HSN.CN.A.2

FLASHCARD QUESTION

Front

Define 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 $i = \sqrt{-1}$ .

Tags

CCSS.HSN.CN.A.1

FLASHCARD QUESTION

Front

What is the imaginary unit $i$ ?

Back

$i = \sqrt{-1}$ .

Tags

CCSS.HSN.CN.A.1

FLASHCARD QUESTION

Front

What is the result of multiplying two imaginary numbers, e.g., $i * i$ ?

Back

$i * i = i^2 = -1$ .

Tags

CCSS.HSN.CN.A.2

FLASHCARD QUESTION

Front

How do you express the square root of a negative number?

Back

The square root of a negative number $-x$ can be expressed as $\sqrt{-x} = i\sqrt{x}$ .

10.

FLASHCARD QUESTION

Front

What is the result of $\sqrt{-16}$ ?

Back

$4i$ .

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