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Arithmetic Mean–Geometric Mean Relation
## Formula
For two positive numbers $$a,b$$:
$$\frac{a+b}{2}\ge\sqrt{ab}$$
Equality holds when:
$$a=b$$
Therefore:
$$AM\ge GM$$
## Usage
- Used to find maximum or minimum values and establish inequalities.
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Arithmetic Mean–Geometric Mean Relation
## Formula
For two positive numbers $$a,b$$:
$$\frac{a+b}{2}\ge\sqrt{ab}$$
Equality holds when:
$$a=b$$
Therefore:
$$AM\ge GM$$
## Usage
- Used to find maximum or minimum values and establish inequalities.
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