Front

What is the result of the complex number addition (3 + 2i) + (4 - 5i)?

Back

7 - 3i

Tags

CCSS.HSN.CN.A.2

Front

What is the result of the complex number subtraction (4 - 2i) - (3 + 6i)?

Back

1 - 8i

Tags

CCSS.HSN.CN.A.2

Front

What is the square root of -36?

Back

6i

Front

What is the value of i raised to the power of 33?

Back

i

Tags

CCSS.HSN.CN.A.2

Front

Simplify the expression using the imaginary number i: \(\sqrt{-20}\)

Back

2i\sqrt{5}

Front

Define the imaginary unit i.

Back

The imaginary unit i is defined as \(i = \sqrt{-1}\).

Tags

CCSS.HSN.CN.A.1

Front

What is the result of the complex number multiplication (2 + 3i)(1 - 4i)?

Back

14 - 5i

Tags

CCSS.HSN.CN.A.2

Front

What is the formula for adding two complex numbers?

Back

If z1 = a + bi and z2 = c + di, then z1 + z2 = (a + c) + (b + d)i.

Tags

CCSS.HSN.CN.A.2

Front

What is the formula for multiplying two complex numbers?

Back

If z1 = a + bi and z2 = c + di, then z1 * z2 = (ac - bd) + (ad + bc)i.

Tags

CCSS.HSN.CN.A.2

Front

What is the conjugate of the complex number 3 + 4i?

Back

The conjugate is 3 - 4i.

Tags

CCSS.HSN.CN.A.3