Subjects algebra

Simplify Root Absolute Fa7A07

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Question: Simplify. $$\frac{\sqrt{|6^2|}}{2}$$
1. **State the problem:** Simplify the expression $$\frac{\sqrt{|6^2|}}{2}$$. 2. **Understand the components:** Inside the square root, we have the absolute value of $$6^2$$. Since $$6^2 = 36$$ and absolute value of 36 is 36, we simplify inside the root first. 3. **Simplify inside the root:** $$|6^2| = |36| = 36$$. 4. **Calculate the square root:** $$\sqrt{36} = 6$$. 5. **Rewrite the expression:** Now the expression is $$\frac{6}{2}$$. 6. **Simplify the fraction:** $$\frac{6}{2} = \frac{\cancel{6}}{\cancel{2}} = 3$$. 7. **Final answer:** The simplified value is $$3$$.