Adding and Subtracting Complex Numbers

This video tutorial explains how to add and subtract expressions using complex numbers. It begins with an introduction to complex numbers, defining them as numbers in the form of 'a + bi', where 'a' is a real number and 'bi' is an imaginary number. The tutorial then demonstrates how to simplify square roots of negative numbers using complex numbers, specifically focusing on the imaginary unit 'i', which is the square root of -1. The video provides examples of simplifying square roots of negative numbers and then shows how to perform subtraction and addition with complex numbers, combining real and imaginary parts separately.

What is the form of a complex number?

• A + B

• A - BI

• A - B

• A + BI

Tags

CCSS.HSN.CN.A.1

What is the value of 'I' in complex numbers?

• The square root of 1

• The square root of 2

• The square root of -1

• The square root of 0

Tags

CCSS.HSN.CN.A.1

How do you simplify the square root of a negative number using complex numbers?

• By factoring out -1 and using 'I'

• By adding 1

• By multiplying by 2

• By subtracting 1

What is the simplified form of the square root of -36?

• 6

• 6I

• 36

• 36I

What is the simplified form of the square root of -121?

• 121

• 11I

• 11

• 121I

What is the result of subtracting 6I from 11I?

• 5I

• -5I

• 17I

• -17I

Tags

CCSS.HSN.CN.A.2

What is the simplified form of the square root of -49?

• 7

• 49I

• 49

• 7I

What is the simplified form of the square root of -81?

• 9

• 81

• 9I

• 81I

What is the result of adding -7I and 9I?

• 2I

• -16I

• -2I

• 16I

Tags

CCSS.HSN.CN.A.2

What is the result of adding 7 and -11?

• 18

• -18

• 4

• -4

Tags

CCSS.7.NS.A.1C