Topic: 4.1 Square
Roots and Cube Roots
Name: ____________________________________
__________________________________________________
_________________________________
Class: Foundations and PrePre-Calculus Math 10
Date: ____________________________________
___________________________________________________
_________________________________
Questions/Main Ideas:
Learning Intention:
Notes:
To show an understanding of and problem solve using square
roots and cube roots.
roots.
Focus on: Determining the square root of a perfect square and
explaining the process.
Determining the cube root of a perfect cube and
explaining the process.
Solving problems involving square roots or cube
roots.
Quick Review:
Perfect squares and square roots are related to
to each other.
• A perfect square is a number that can be expressed as the
product of two equal factors.
Example: /0 1 234234 56 37
• A square root is one of two equal factors of a number.
Example: √39 1 :2;42;4 1 ;
So, what is √7=?? Explain.
Perfect cubes and cube roots are related to each other.
• A perfect cube is a number that is the product of three
equal factors.
Example: 03 1 234234234 1 3?
• A cube root is one of three equal factors of a number.
?
?
Example: √=/7 1 :2@42@42@4 1 @
?
So, what is √7;? Explain.
You can use diagrams, or
manipulatives, factor trees,
or a calculator to solve
problems involving square
Eg1. State whether each of the following numbers is a perfect
square, a perfect cube, both, or neither.
a4 121
b4 729
c4 356
roots and cube roots.
Do you know how to find a
square root or cube root on
your calculator?
Try now, ask for help!
Something challenging Eg 2. The uranium that Saskatchewan produces in a year has a
volume of about 512 J? . If this volume were made into a single
Problem Solving:
cube, what would be the dimensions of the cube?
Solution 1: Use Volume of a Cubic Prism with side x.
Solution 2: Use Prime Factorization 2hint: a factor tree4
Next Step:
p 158 # 11-8 2b,d,f4,
2b,d,f4,9,10,18.