Download An example with numbers

Math Sec 5 – Science Option
Mrs. Perks
Who are you?

1. Who is your homeroom teacher?
2. Who was your teacher last year?
3. What are your strengths in math?
4. What are your weaknesses in math?
5. What is your goal mark for this year?
6. How can I help you get this?
7. Tell me something interesting about yourself.
Course Outline
Class Rules
Homework
Missed Notes & Tests
Materials Needed
Emails
Reducing Radicals
…but first, some review!
Powers with Rational Exponents
Remember…
a must be a real number
n can be any non-zero natural number
Does not exist when n is even
and a is negative
Powers with Rational Exponents
Example
DOES NOT EXIST
Powers with Rational Exponents
Another Rule…
Examples
Laws of Exponents
The five laws of exponents apply to rational exponents!
1.
2.
3.
Laws of Exponents
The five laws of exponents apply to rational exponents!
4.
5.
Properties of Radicals
If a and b are positive real numbers or 0, then:
This symbol means “implies”
An example with numbers:
Properties of Radicals
There are 4 properties:
b≠0
Properties of Radicals
There are 4 properties:
ab ≠ 0
ab ≠ 0
Reducing the Radican
We will have to use the 4 new properties to
reduce radicals
Example
Write the radican as a product of 2
factors, with one of them being a
perfect square
Apply the new property
Solving the Radican
Example – Solve the square root equation
1+5
Your first few steps will be getting an
equation that has a radical on one side,
and a constant on the other.
6/3
Once you get this, you will square each
side to eliminate the radical, then solve
Solving the Radican
Example – Solve the square root equation
Homework
Workbook p.15-16 #2,3,4,5,6
Textbook p.39 #1,3,4