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Published byRudolf Logan Modified over 6 years ago
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Some perfect squares can be factored more than one way
Some perfect squares can be factored more than one way. When simplifying square roots, it is often easiest to find the greatest perfect square factor before you start to simplify.
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Example 1: Simplify Square Roots
Method A: Greatest Perfect Square Factor Method B: Factor Tree 36 is the greatest perfect square factor. 2
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Method A: Greatest Perfect Square Factor Method B: Factor Tree
Check It Out: Example 1 Simplify. Method A: Greatest Perfect Square Factor Method B: Factor Tree 49 is the greatest perfect square factor. 3
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Example 2: Adding and Subtracting Square Roots
Simplify Identify perfect square factors. 49 = 7² = 0 4
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Identify perfect square factors.
Check It Out: Example 2 Simplify Identify perfect square factors. 36 = 6² 5
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