https://file.aiquickdraw.com/mathbot/file/1726676357242d4085wy0.jpg

The expression provided in the image is:

\[
\frac{5}{\sqrt{10 + \sqrt{5}}}
\]

Would you like me to simplify this expression further, or perform any specific operations (like rationalizing the denominator)? Let me know if you'd like a detailed breakdown!

Here are 5 questions you might consider to deepen your understanding:

1. How do you simplify expressions with nested square roots?
2. What does it mean to rationalize a denominator?
3. Can you use numerical methods to approximate this value?
4. How does the square root function behave when applied to sums?
5. What are some common patterns involving nested radicals in mathematics?

**Tip:** Rationalizing the denominator involves eliminating the square root in the denominator by multiplying both the numerator and denominator by a suitable expression.

What is the simplified form of 5/√(10+√5)?

Learn how to simplify the expression 5/√(10+√5) by rationalizing the denominator and exploring nested square roots. This problem covers concepts from radical expressions and rationalization techniques. Suitable for high school students in Grades 10-12.

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