Simplifying Radicals and Complex Numbers For Breakout

Front

What is the result of (1 + i)²?

Back

2i

Front

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

Back

-1 + 43i

Front

What is the result of the operation pictured?

Back

7 - 13i

Front

Simplify (-10 + 6i)/17.

Back

(1 + 50i)/61

Front

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

Back

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

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.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

How do you add complex numbers?

Back

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

Front

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

Back

The conjugate is a - bi.

Front

How do you multiply complex numbers?

Back

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