Cube Roots

Cube Roots

By Rory Rivkind

Poll

How did Unit 1 of the math test go?

• It went awesome

• I did better than I imagined

• I did ok

• I didn't do as well as I thought I would

• That test was about math?

Open Ended

We already learned what a square root is.

What do you think a cube root is?

​What is a cube root?

Open Ended

What would be an example of a perfect cube?

Let's Try

Fill in the Blanks

Calculate $\sqrt[3]{1}$

Open Ended

What is $$\sqrt[3]{-27}$$

Multiple Choice

Which symbol makes the following statement correct

$$\sqrt[3]{27}\ \ \ \ \ \ \ \ \ \sqrt[]{16}$$

• =

• >

• <

Multiple Choice

Which symbol makes the following statement correct

$$\sqrt[3]{-729}\ \ \ \ \ \ \ \ \ \sqrt[]{729}\ \ \ \$$

• >

• <

• =

Multiple Choice

Which symbol will make the statement correct?

$$\sqrt[]{64}\ \ \ \ \ \ \ \ \ \sqrt[3]{512}$$

• =

• >

• <

Evaluating Expressions

Multiple Choice

Evaluate the expression:

$$\left(\sqrt[3]{125}\right)^3$$

• 15625

• 5

• 15

• 125

Multiple Choice

Evaluate the expression

$$5\sqrt[3]{512}-19$$

• 15
• 27
• 21
• -19

Solving Equations with Cube Roots

Multiple Choice

Solve the equation:

$$z^3=-1000$$

• 10

• 100

• -10

• -100

Multiple Choice

Solve the equation

$$3b^3=1029$$

• 9
• 5
• 7
• 11

Multiple Choice

Solve the equation:

$$33=-\frac{1}{5}m^3+8$$

• 5
• -5
• 0
• -3