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