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 transcript:

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

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

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

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

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

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

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

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

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

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

Example 2 Simplify

Example 2 Simplify

Example 2 Simplify

Example 2 Simplify

Example 2 Simplify

Example 2 Simplify

Example 2 Simplify

Example 2 Simplify

Example 2 Simplify

Example 2 Simplify

Example 2 Simplify

Example 3 Simplify

Example 3 Simplify

Example 3 Simplify

Example 3 Simplify

Example 3 Simplify

Example 4 Simplify

Example 4 Simplify

Example 4 Simplify

Example 4 Simplify

Example 4 Simplify

HW Simplify the following radicals