Operations with Radical Expressions

​Multiply Radical Expressions

Steps:

1. Combine under one radicand.

2. Factor fully.

3. Simplify roots.

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​Example: Multiplying Radicals

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​Rational Radical Expressions

Steps:

1. Separate root into two roots.

2. Factor fully.

3. Simplify roots, cancel if possible.

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​Example: Rational Radicals

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​Add/Sub Radical Expressions

Steps:

1. Factor fully.

2. ​Simplify roots.

3. Combine like radicands if possible.​

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​Example: Add/Sub Radicals

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​Distribute Radical Expressions

Steps:

1. Distribute (Multiply)

2. Factor fully.

3. ​Simplify roots.

4. Combine like radicands if possible.​

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​Example: Distribute Radicals

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