Simplifying Radicals and Complex Numbers For Breakout

Front

What is the result of (1 + i)²?

Back

2i

Tags

CCSS.HSN.CN.C.8

Front

Calculate (4 + 3i)(5 + 7i).

Back

-1 + 43i

Tags

CCSS.HSN.CN.C.8

Front

What is the result of the operation pictured?

Back

7 - 13i

Tags

CCSS.HSN.CN.A.2

Front

Simplify (-10 + 6i)/17.

Back

(1 + 50i)/61

Tags

CCSS.HSN.CN.A.3

Front

What can't be in the denominator of a complex number?

Back

All of the Above (A Radical, An i, A negative)

Tags

CCSS.HSN.CN.A.3

Front

Define 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.

Tags

CCSS.HSN.CN.A.1

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

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 multiply complex numbers?

Back

Use the distributive property (FOIL) and apply the fact that i² = -1.

Tags

CCSS.HSN.CN.A.2