Squares, Square Roots, Cubes, and Cube Roots

Squares, Square Roots, Cubes, and Cube Roots

Lesson Objectives

At the end of the lesson, you should be able to:

1. identify the connection between squares and corresponding square roots, and cubes and corresponding cube roots; and

2. solve mathematical problems involving squares, square roots, cubes, and cube roots.

Multiple Choice

Is  8³  the same thing as   $$8\times3$$  ?

• YES

• NO

Multiple Choice

Is   $$\left(-3\right)^2$$   the same thing as  -3² ?

• YES

• NO

Multiple Select

Select all the expressions that are equivalent to 7².

• 14

• 7 x 7

• 7 x 2

• 49

• 7 + 2

Multiple Choice

$$\sqrt[3]{64}=\sqrt[3]{4^3}=4$$

• TRUE

• FALSE

Multiple Choice

$$\sqrt[3]{5^3}=5^3$$

• TRUE

• FALSE

Multiple Choice

$$\sqrt[3]{-64}=-4$$

• TRUE

• FALSE

Multiple Choice

$$\sqrt[3]{0}+\sqrt[3]{1}+\sqrt[3]{-125}+\sqrt[3]{512}$$

• 14

• 4

• -4

• -14

Multiple Choice

Find the total surface area of a cube that has a volume of $$125\ cm^3$$ .

• $$30\ cm^2$$

• $$100\ cm^2$$

• $$25\ cm^2$$

• $$150\ cm^2$$

Multiple Choice

Find the total surface area of a cube that has a volume of $$64\ cm^3$$ .

• $$48\ cm^2$$

• $$16\ cm^2$$

• $$24\ cm^2$$

• $$96\ cm^2$$