Multiplication Rule for Square Roots: For non-negative numbers $a$ and $b$, $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$.

Division Rule for Square Roots: For non-negative $a$ and $b \neq 0$, $\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$.

Applying the Rules for Simplification: Example: $\sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}$, breaking down the square root into manageable parts.

Using the Division Rule for Fractions: Example: $\sqrt{\frac{36}{25}} = \frac{\sqrt{36}}{\sqrt{25}} = \frac{6}{5} = 1.2$, making division of square roots simpler.

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