$$  $$$$ \sqrt3\left(\sqrt{5-\sqrt6}\right) $$

It looks like you've input part of an expression:

\[
\sqrt{3} \left( \sqrt{5 - \sqrt{6}} \right)
\]

Is this the expression you want help simplifying, or are you looking for something else? Let me know if you'd like assistance solving this or working through its steps!

Would you like to explore the steps involved in simplifying it? Here's how we can approach:

1. First, break down the inner square root: $\sqrt{5 - \sqrt{6}}$.
2. Look for potential rational approximations or simplifications within the nested radical.
3. Multiply the result by $\sqrt{3}$ once the inner radical is simplified.

Feel free to ask for further details or clarification!

### Related questions:
1. How do you simplify nested radicals?
2. What is the general rule for multiplying square roots?
3. Are there standard techniques to simplify expressions like $\sqrt{a - \sqrt{b}}$?
4. How can approximations help simplify square root expressions?
5. How can we approach more complex nested radicals?

**Tip:** When working with nested square roots, always check for simplifications inside the radicals first.

$$  $$$$ \sqrt{3}\left(\sqrt{5 - \sqrt{6}}\right) $$

Explore how to simplify the nested radical expression \sqrt{3}\left(\sqrt{5 - \sqrt{6}}\right). This step-by-step guide covers key mathematical concepts like radical simplification and nested radicals, making it suitable for students in Grades 10-12.

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