6 1 properties of square roots
- 2. Square Root Vocab The square root symbol is called a radical sign The number inside is the radicand
- 4. Simplifying Square Roots A square root is simplified when the radicand has no perfect square factors (other than 1).
- 5. Method 1: Use Product Property to rewrite using largest perfect square factor. Simplify Example:
- 6. Method 2: Make a factor tree. Any number that finds a date gets to go outside the radical. Example:
- 11. Using the Quotient Property Simplify
- 14. Evaluating Square Roots 1. Plug in given values for each variable. USE PARENTHESES!! 2. Simplify under the radical sign. 3. Reduce/simplify the square root.
- 15. Example Evaluate when a = 2, b = -8, and c = 4.
- 16. Example Evaluate when a = 20 and b = 16
- 17. You Try! Evaluate when a = 2, b = -6, and c = -5.
- 18. Simplifying Radical Expressions Simplify the radical (square root) first. Then divide/reduce. Example:
- 22. You Try!
- 23. Simplifying Variable Expressions For expressions like this: Simplify the number part as usual. Pairs of each variable go outside.