Simplifying Radical Expressions Introduction to Square Roots.
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Simplifying Radical Expressions Introduction to Square Roots
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Transcript of Simplifying Radical Expressions Introduction to Square Roots.
Simplifying Radical
Expressions
Introduction to Square Roots
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
