Warm Up:
Simplify the following:
Objective:
The student will be able to simplify radicals and
rationalize a denominator
Think, Pair, Share:
What does it mean to have a root and how does
this apply to Mathematics? If we can raise a
number to a power is there some way we can
“undo” it, if so how if not why not?
Simplest Radical Form
A radical expression is in its simplest form when
the following three conditions have been met:
No radicands have perfect square factors other
than 1.
No radicands contain fractions.
No radicands appear in the denominator of a
fraction.
Product Property of
Square Roots
Note
For radical expressions where the exponent of
the variable inside the radical is even and the
resulting exponent is odd, you must use the
absolute value to ensure nonnegative results.
Ex:
Simplify a Square Root
With Variables
With a Partner…
Quotient Property of
Square Roots
Rationalizing the
Denominator
With a Partner…
Simplify:
On Your Own…
Simplify:
Exit Ticket and Homework
Exit Ticket:
Simplify:
Homework:
Worksheet