The square root of 15, written as \( \sqrt{15} \), is an irrational number, meaning it cannot be expressed as a simple fraction. Its decimal approximation is:

\[
\sqrt{15} \approx 3.872
\]

### Simplifying \( \sqrt{15} \)
Since 15 is not a perfect square and cannot be factored into a product of perfect squares, \( \sqrt{15} \) cannot be simplified further. 

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### Related questions:
1. How can I estimate square roots of numbers that are not perfect squares?
2. How do you simplify square roots involving variables?
3. What is the square root of a negative number?
4. How can I find the decimal value of square roots without a calculator?
5. What is the difference between rational and irrational numbers?
6. Can you explain how to simplify \( \sqrt{18} \)?
7. How is the square root used in solving quadratic equations?
8. What is the square root of \( \frac{1}{16} \)?

### Tip:
To estimate square roots of non-perfect squares, look at the nearest perfect squares. For example, \( \sqrt{15} \) is between \( \sqrt{9} = 3 \) and \( \sqrt{16} = 4 \). This helps in approximations!

Explore the square root of 15 (sqrt(15)), an irrational number that cannot be expressed as a simple fraction. Learn its decimal approximation, how to estimate square roots, and related concepts. Suitable for students in Grades 7-9.

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