4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019 Radical Operations Day 1 N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. (i.e., simplify and/or use the operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots).
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4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Radical OperationsDay 1
N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. (i.e., simplify and/or use the operations of addition, subtraction, and multiplication, with radicals within expressions limited to square roots).
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
What am I learning today?
How to simplify and multiply radical expressions
How will I show that I learned it?Multiply 2 square‐root expressions, including
variables
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
4
Index
RadicalRadicand
Vocabulary:
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Properties of Radicals:Product Property:
We use this to both simplify and multiply radicals.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Simplifying Radicals (Square Roots):Step 1: Factor the radicand into its prime factors.Step 2: Group same factors in groups of 2.Step 3: For every group you have, you have a perfect root and can move that factor outside the radical.Step 4: Multiply your outside factors together and your inside factors together to simplify your radical.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Example A.
Example B.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Example C.
Example D.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Example E.
Example F.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Multiplying Radicals:Step 1: Factor radicands.Step 2: Multiply coefficients and combine factors of radicands under one radical (assuming index is same).Step 3: Simplify radical.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Example A.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Example B.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Example C.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
Challenge:
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
What have we learned about the products of rational and irrational numbers?
Go back to your rational and irrational chart.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
How would you describe the following? Give 2 examples of each.
The product of a rational and a rational.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
How would you describe the following? Give 2 examples of each.
The product of an irrational and an irrational.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
How would you describe the following? Give 2 examples of each.
The product of a rational and an irrational.
4 Notes Simplifying and Multiplying Radicals.notebook January 09, 2019
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