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Radical Basics We will work with square roots, thus, you do not need to write the index. The index for square roots is 2.

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Presentation on theme: "Radical Basics We will work with square roots, thus, you do not need to write the index. The index for square roots is 2."— Presentation transcript:

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2 Radical Basics We will work with square roots, thus, you do not need to write the index. The index for square roots is 2.

3 Simplifying a Square Root Simplify First, complete the factoring tree for the radicand

4 Simplifying a Square Root Simplify First, complete the factoring tree for the radicand

5 Simplifying a Square Root Simplify First, complete the factoring tree for the radicand

6 Simplifying a Square Root Simplify First, complete the factoring tree for the radicand Second, write the prime factorization of the radicand

7 Simplifying a Square Root Simplify First, complete the factoring tree for the radicand Second, write the prime factorization of the radicand

8 Simplifying a Square Root Simplify First, complete the factoring tree for the radicand Second, write the prime factorization of the radicand Lastly, simplify the radicand

9 Simplifying a Square Root Simplify First, complete the factoring tree for the radicand Second, write the prime factorization of the radicand Lastly, simplify the radicand

10 Simplifying a Square Root Simplify First, complete the factoring tree for the radicand Second, write the prime factorization of the radicand Lastly, simplify the radicand

11 Simplifying a Square Root Simplify First, complete the factoring tree for the radicand Second, write the prime factorization of the radicand Lastly, simplify the radicand

12 Example 2 Simplify

13 Example 2 Simplify

14 Example 2 Simplify

15 Example 2 Simplify

16 Example 2 Simplify

17 Example 2 Simplify

18 Example 2 Simplify

19 Example 2 Simplify

20 Example 2 Simplify

21 Example 2 Simplify

22 Example 2 Simplify

23 Example 3 Simplify

24 Example 3 Simplify

25 Example 3 Simplify

26 Example 3 Simplify

27 Example 3 Simplify

28 Example 4 Simplify

29 Example 4 Simplify

30 Example 4 Simplify

31 Example 4 Simplify

32 Example 4 Simplify

33 HW Simplify the following radicals

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