Simplifying Square Roots: Worksheet Practice and Notes

1. 3/20/09 Have out: pencil, GP NB Bell Work Complete as many of the squares on the worksheet as you can. Part 1 only

2. add to your notes... Square roots: a square root is the inverse of a square. once you use the square root it “disappears” Complete PART 2 on the worksheet

3. add to your notes Simplifying Square Roots Note: whenever you are asked for an exact answer or simplified answer this is what you do • Find a perfect square that divides into the number (use the chart) • Rewrite the square root as a product • Square root what you can • Repeat as necessary Divides by 9 (This is read 3 root 5)

4. Example 1: Write each of the following square roots in simplest form.

5. Example 2: another way A) 18 Make a factor tree. Identify and circle the pairs. 2 9 Cross out the pairs when you take their square root. 3 3 Leave non-paired numbers under the radical sign. 12 B) 3 4 2 2

6. Is there a faster way? 80 Find the largest perfect square! C) 80 10 8 16 5 5 2 2 4 2 2 Example 3: Simplify the following D) B) A) C)

7. Example 4: Simplify

8. Part 3: Simplifying with variables: = _____ We will complete part 3 now. = _____ = _____ = _____ = _____ = _____ = _____ = _____ = _____= _____ = _____ = _____ = _____= _____

9. Example 5: Simplify

10. Example 6: Part 4: b) c) a)

11. Work on Radicals Part 1 WS