Radical Expressions N. RN

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Presentation transcript:

Radical Expressions N. RN Radical Expressions N.RN.2 Rewrite expression involving radicals using operations.

Know your perfect squares

Simplify Radicals

Simplify Using Perfect Square Method Step 1: Find the LARGEST perfect square that goes into 147 Step 2: simplify

Step 1: Find the LARGEST perfect square that goes into 605 Simplify Step 1: Find the LARGEST perfect square that goes into 605 Step 2: Simplify

Simplify the following using the perfect square method Perfect Square Factor * Other Factor = = = = Your Turn to Try = = = = = =

Simplifying Radicals by Tree Method. Simplify the following. Step 1: break the number down into a factor tree. Step 2: Circle your prime numbers 2, 3, 5, 7, 11, 13, 17, 19….. 2 10 5 2

Pairs go outside and share one name So… is really just… so it ends up like this… Pairs go outside and share one name Singles stay inside

Simplify the following: Step 1: Make a factor tree Step 2: Circle Prime Numbers Step 3: Find pairs, bring them outside Step 4: Clean up with multiplying anything left 14 10 2 7 5

8 Simplify the following using the tree method: 1. 2. 3. 4. Your Turn to Try

Adding and Subtracting Radicals

Adding or Subtracting Radicals Step 1: Simplify your terms first Step 2: Combine your like radicands (the number under the radical). ***add or subtract the coefficients! DO NOT ADD or SUBTRACT RADICANDS****

Adding or Subtracting Radicals Step 1: Simplify your terms first 6 3 2 Step 2: Combine your like radicands (the number under the radical). ***add or subtract the coefficients! DO NOT ADD or SUBTRACT RADICANDS****

Step 1: Simplify your terms first Step 2: Combine your like radicands (the number under the radical). ***add or subtract the coefficients! DO NOT ADD or SUBTRACT RADICANDS****

Simplify the following expressions Your Turn to Try

Multiplying Radicals

* Multiplying Radicals To multiply radicals: Step 1: multiply the coefficients Step 2: multiply the radicands Step 3: simplify the remaining radicals. **THINK OUTSIDE OUTSIDE AND INSIDE INSIDE**

Multiplying Radicals Step 1: Multiply terms outside the radical together. Step 2: Multiply terms inside the radical together. Step 3: Simplify.

Multiplying Radicals Step 1: Multiply terms outside the radical together. Step 2: Multiply terms inside the radical together. Step 3: Simplify.

Simplify the expression: Step 1: Multiply terms outside the radical together. Step 2: Multiply terms inside the radical together. Step 3: Simplify.

Simplify the following expressions Your Turn to Try