Name: ____________________ Math 10F&PC H. Date: _________________

Chapter 3 Factors and Products

3.2 Perfect Squares, Perfect Cubes, and Their Roots Learning Outcomes:

Identify perfect squares and perfect cubes.

Determine square roots and cube roots of numbers.

The symbol used to indicate a root is called a radical. The expression is therefore read "

radical ," or "the th ___________ of ." In the radical symbol, the horizonal line is called the

___________, the quantity under the vinculum is called the ____________, and the quantity

written to the left is called the _________. The special case is written and is called the

______________ of . is called the ___________________.

Perfect square:_______________________________________________________

_______________________________________________________

Illustrate the perfect squares 1 to 25.

Square root: ________________________________________________________

_________________________________________________________

Example 1: Determine the square root of

A) 324 B) 1296

Method 1 Method 2

Perfect cube: ________________________________________________________

_________________________________________________________

Cube root: ________________________________________________________

_________________________________________________________

Example 2: Determine the cube root of 1728

Example 3: A cube has a volume of 4913 in

3. What is the surface area of the cube?

Example 4: A cube has a surface area of 1734 square inches. What is its volume?

Example 5: a) Determine the side length of a square with area 1156x4y4.

b) Determine the edge length of a cube with volume 4096x6y6.

Name: ____________________ Math 10F&PC H. Date: _________________

Chapter 3 Factors and Products Assignment #2

What is the greatest common factor (GCF) for the following?

1.) 35, 40 2.) 21, 28 3.) 10a2 , 5a

What is the greatest common factor of each set?

1.) 21x2y , 15xy

2 , 9x

2y

2 2.) 18xy

2 , 27x

2y

2 , 36x

2y

Binomial GCF Factored Form

Check

6x - 3

3x2 - 5x

6y2 - 14y

15a2b

5 - 9b

4c

5

24x4y - 18x

3y

+12x2y

2

Monomial Factoring Binomial Factoring Group Factoring

1 6x2y + 8xy

2 3. 4x(w +1) + 5y(w + 1) 5. xy + 12 + 4x + 3y

2. 24w5 + 6w

3 4. 3m(x - 1) + 5(x-1) 6. ac + bd + ad + bc

Assignment: Page 146 Q #4–8, 10, 11, and 12